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Finding the Fourth Proportional to 413,043.57, 619,204.50 and 160,149.83

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Solution

The fourth proportional to 413,043.57, 619,204.50 and 160,149.83 is: 240,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,043.57 : 619,204.50 = 160,149.83 : x
  2. Step 2: Convert to fraction form
    413,043.57/619,204.50 = 160,149.83/x
  3. Step 3: Cross multiply
    413,043.57x = 619,204.50 × 160,149.83
  4. Step 4: Simplify right side
    413,043.57x = 99,165,492,314.21
  5. Step 5: Solve for x
    x = 99,165,492,314.21/413,043.57
  6. Step 6: Final answer
    x = 240,084.82

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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.