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Finding the Fourth Proportional to 520,357.14, 718,106.85 and 293,997.78

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Solution

The fourth proportional to 520,357.14, 718,106.85 and 293,997.78 is: 405,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,357.14 : 718,106.85 = 293,997.78 : x
  2. Step 2: Convert to fraction form
    520,357.14/718,106.85 = 293,997.78/x
  3. Step 3: Cross multiply
    520,357.14x = 718,106.85 × 293,997.78
  4. Step 4: Simplify right side
    520,357.14x = 211,121,819,702.79
  5. Step 5: Solve for x
    x = 211,121,819,702.79/520,357.14
  6. Step 6: Final answer
    x = 405,724.84

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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.