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Finding the Fourth Proportional to 485,123.60, 727,426.20 and 204,323.60

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Solution

The fourth proportional to 485,123.60, 727,426.20 and 204,323.60 is: 306,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,123.60 : 727,426.20 = 204,323.60 : x
  2. Step 2: Convert to fraction form
    485,123.60/727,426.20 = 204,323.60/x
  3. Step 3: Cross multiply
    485,123.60x = 727,426.20 × 204,323.60
  4. Step 4: Simplify right side
    485,123.60x = 148,630,339,918.32
  5. Step 5: Solve for x
    x = 148,630,339,918.32/485,123.60
  6. Step 6: Final answer
    x = 306,376.23

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Why These Related Problems?

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