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Finding the Fourth Proportional to 610,699.68, 842,735.92 and 338,778.40

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Solution

The fourth proportional to 610,699.68, 842,735.92 and 338,778.40 is: 467,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,699.68 : 842,735.92 = 338,778.40 : x
  2. Step 2: Convert to fraction form
    610,699.68/842,735.92 = 338,778.40/x
  3. Step 3: Cross multiply
    610,699.68x = 842,735.92 × 338,778.40
  4. Step 4: Simplify right side
    610,699.68x = 285,500,726,600.13
  5. Step 5: Solve for x
    x = 285,500,726,600.13/610,699.68
  6. Step 6: Final answer
    x = 467,497.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.