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Finding the Fourth Proportional to 414,349.31, 571,412.31 and 383,422.70

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Solution

The fourth proportional to 414,349.31, 571,412.31 and 383,422.70 is: 528,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,349.31 : 571,412.31 = 383,422.70 : x
  2. Step 2: Convert to fraction form
    414,349.31/571,412.31 = 383,422.70/x
  3. Step 3: Cross multiply
    414,349.31x = 571,412.31 × 383,422.70
  4. Step 4: Simplify right side
    414,349.31x = 219,092,447,856.38
  5. Step 5: Solve for x
    x = 219,092,447,856.38/414,349.31
  6. Step 6: Final answer
    x = 528,762.68

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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.