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Finding the Fourth Proportional to 414,997.47, 571,490.51 and 360,524.76

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Solution

The fourth proportional to 414,997.47, 571,490.51 and 360,524.76 is: 496,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,997.47 : 571,490.51 = 360,524.76 : x
  2. Step 2: Convert to fraction form
    414,997.47/571,490.51 = 360,524.76/x
  3. Step 3: Cross multiply
    414,997.47x = 571,490.51 × 360,524.76
  4. Step 4: Simplify right side
    414,997.47x = 206,036,477,157.40
  5. Step 5: Solve for x
    x = 206,036,477,157.40/414,997.47
  6. Step 6: Final answer
    x = 496,476.47

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.