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Finding the Fourth Proportional to 713,407.31, 984,501.81 and 391,110.50

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Solution

The fourth proportional to 713,407.31, 984,501.81 and 391,110.50 is: 539,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,407.31 : 984,501.81 = 391,110.50 : x
  2. Step 2: Convert to fraction form
    713,407.31/984,501.81 = 391,110.50/x
  3. Step 3: Cross multiply
    713,407.31x = 984,501.81 × 391,110.50
  4. Step 4: Simplify right side
    713,407.31x = 385,048,995,160.01
  5. Step 5: Solve for x
    x = 385,048,995,160.01/713,407.31
  6. Step 6: Final answer
    x = 539,732.34

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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.