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Finding the Fourth Proportional to 414,279, 571,699.56 and 232,990.86

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Solution

The fourth proportional to 414,279, 571,699.56 and 232,990.86 is: 321,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,279 : 571,699.56 = 232,990.86 : x
  2. Step 2: Convert to fraction form
    414,279/571,699.56 = 232,990.86/x
  3. Step 3: Cross multiply
    414,279x = 571,699.56 × 232,990.86
  4. Step 4: Simplify right side
    414,279x = 133,200,772,146.02
  5. Step 5: Solve for x
    x = 133,200,772,146.02/414,279
  6. Step 6: Final answer
    x = 321,524.32

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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.