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Finding the Fourth Proportional to 610,350.50, 842,293.82 and 338,429.86

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Solution

The fourth proportional to 610,350.50, 842,293.82 and 338,429.86 is: 467,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,350.50 : 842,293.82 = 338,429.86 : x
  2. Step 2: Convert to fraction form
    610,350.50/842,293.82 = 338,429.86/x
  3. Step 3: Cross multiply
    610,350.50x = 842,293.82 × 338,429.86
  4. Step 4: Simplify right side
    610,350.50x = 285,057,379,581.47
  5. Step 5: Solve for x
    x = 285,057,379,581.47/610,350.50
  6. Step 6: Final answer
    x = 467,038.82

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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.