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Finding the Fourth Proportional to 713,407.87, 984,502.59 and 391,111.05

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Solution

The fourth proportional to 713,407.87, 984,502.59 and 391,111.05 is: 539,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,407.87 : 984,502.59 = 391,111.05 : x
  2. Step 2: Convert to fraction form
    713,407.87/984,502.59 = 391,111.05/x
  3. Step 3: Cross multiply
    713,407.87x = 984,502.59 × 391,111.05
  4. Step 4: Simplify right side
    713,407.87x = 385,049,841,702.62
  5. Step 5: Solve for x
    x = 385,049,841,702.62/713,407.87
  6. Step 6: Final answer
    x = 539,733.10

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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.