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Finding the Fourth Proportional to 713,405.49, 984,499.31 and 391,108.65

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Solution

The fourth proportional to 713,405.49, 984,499.31 and 391,108.65 is: 539,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,405.49 : 984,499.31 = 391,108.65 : x
  2. Step 2: Convert to fraction form
    713,405.49/984,499.31 = 391,108.65/x
  3. Step 3: Cross multiply
    713,405.49x = 984,499.31 × 391,108.65
  4. Step 4: Simplify right side
    713,405.49x = 385,046,194,104.49
  5. Step 5: Solve for x
    x = 385,046,194,104.49/713,405.49
  6. Step 6: Final answer
    x = 539,729.79

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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.