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Finding the Fourth Proportional to 411,681.96, 617,103.90 and 187,201.80

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Solution

The fourth proportional to 411,681.96, 617,103.90 and 187,201.80 is: 280,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,681.96 : 617,103.90 = 187,201.80 : x
  2. Step 2: Convert to fraction form
    411,681.96/617,103.90 = 187,201.80/x
  3. Step 3: Cross multiply
    411,681.96x = 617,103.90 × 187,201.80
  4. Step 4: Simplify right side
    411,681.96x = 115,522,960,867.02
  5. Step 5: Solve for x
    x = 115,522,960,867.02/411,681.96
  6. Step 6: Final answer
    x = 280,612.15

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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.