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Finding the Fourth Proportional to 435,662.80, 653,494.20 and 286,363.60

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Solution

The fourth proportional to 435,662.80, 653,494.20 and 286,363.60 is: 429,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,662.80 : 653,494.20 = 286,363.60 : x
  2. Step 2: Convert to fraction form
    435,662.80/653,494.20 = 286,363.60/x
  3. Step 3: Cross multiply
    435,662.80x = 653,494.20 × 286,363.60
  4. Step 4: Simplify right side
    435,662.80x = 187,136,951,691.12
  5. Step 5: Solve for x
    x = 187,136,951,691.12/435,662.80
  6. Step 6: Final answer
    x = 429,545.40

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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.