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Finding the Fourth Proportional to 513,920.30, 770,437.17 and 247,314.06

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Solution

The fourth proportional to 513,920.30, 770,437.17 and 247,314.06 is: 370,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,920.30 : 770,437.17 = 247,314.06 : x
  2. Step 2: Convert to fraction form
    513,920.30/770,437.17 = 247,314.06/x
  3. Step 3: Cross multiply
    513,920.30x = 770,437.17 × 247,314.06
  4. Step 4: Simplify right side
    513,920.30x = 190,539,944,487.61
  5. Step 5: Solve for x
    x = 190,539,944,487.61/513,920.30
  6. Step 6: Final answer
    x = 370,757.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.