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Finding the Fourth Proportional to 415,829.20, 623,743.80 and 205,877.20

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Solution

The fourth proportional to 415,829.20, 623,743.80 and 205,877.20 is: 308,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,829.20 : 623,743.80 = 205,877.20 : x
  2. Step 2: Convert to fraction form
    415,829.20/623,743.80 = 205,877.20/x
  3. Step 3: Cross multiply
    415,829.20x = 623,743.80 × 205,877.20
  4. Step 4: Simplify right side
    415,829.20x = 128,414,627,061.36
  5. Step 5: Solve for x
    x = 128,414,627,061.36/415,829.20
  6. Step 6: Final answer
    x = 308,815.80

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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.