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Finding the Fourth Proportional to 411,695.40, 617,543.10 and 386,812.20

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Solution

The fourth proportional to 411,695.40, 617,543.10 and 386,812.20 is: 580,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,695.40 : 617,543.10 = 386,812.20 : x
  2. Step 2: Convert to fraction form
    411,695.40/617,543.10 = 386,812.20/x
  3. Step 3: Cross multiply
    411,695.40x = 617,543.10 × 386,812.20
  4. Step 4: Simplify right side
    411,695.40x = 238,873,205,105.82
  5. Step 5: Solve for x
    x = 238,873,205,105.82/411,695.40
  6. Step 6: Final answer
    x = 580,218.30

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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.