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Finding the Fourth Proportional to 534,429.60, 801,644.40 and 254,493.60

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Solution

The fourth proportional to 534,429.60, 801,644.40 and 254,493.60 is: 381,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,429.60 : 801,644.40 = 254,493.60 : x
  2. Step 2: Convert to fraction form
    534,429.60/801,644.40 = 254,493.60/x
  3. Step 3: Cross multiply
    534,429.60x = 801,644.40 × 254,493.60
  4. Step 4: Simplify right side
    534,429.60x = 204,013,369,275.84
  5. Step 5: Solve for x
    x = 204,013,369,275.84/534,429.60
  6. Step 6: Final answer
    x = 381,740.40

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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.