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Finding the Fourth Proportional to 827,417.60, 1,242,292.80 and 512,489.60

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Solution

The fourth proportional to 827,417.60, 1,242,292.80 and 512,489.60 is: 769,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,417.60 : 1,242,292.80 = 512,489.60 : x
  2. Step 2: Convert to fraction form
    827,417.60/1,242,292.80 = 512,489.60/x
  3. Step 3: Cross multiply
    827,417.60x = 1,242,292.80 × 512,489.60
  4. Step 4: Simplify right side
    827,417.60x = 636,662,140,154.88
  5. Step 5: Solve for x
    x = 636,662,140,154.88/827,417.60
  6. Step 6: Final answer
    x = 769,456.85

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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.