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Finding the Fourth Proportional to 413,046.60, 619,569.90 and 224,089.80

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Solution

The fourth proportional to 413,046.60, 619,569.90 and 224,089.80 is: 336,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,046.60 : 619,569.90 = 224,089.80 : x
  2. Step 2: Convert to fraction form
    413,046.60/619,569.90 = 224,089.80/x
  3. Step 3: Cross multiply
    413,046.60x = 619,569.90 × 224,089.80
  4. Step 4: Simplify right side
    413,046.60x = 138,839,294,977.02
  5. Step 5: Solve for x
    x = 138,839,294,977.02/413,046.60
  6. Step 6: Final answer
    x = 336,134.70

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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.