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Finding the Fourth Proportional to 435,411.59, 653,124.29 and 165,543.84

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Solution

The fourth proportional to 435,411.59, 653,124.29 and 165,543.84 is: 248,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,411.59 : 653,124.29 = 165,543.84 : x
  2. Step 2: Convert to fraction form
    435,411.59/653,124.29 = 165,543.84/x
  3. Step 3: Cross multiply
    435,411.59x = 653,124.29 × 165,543.84
  4. Step 4: Simplify right side
    435,411.59x = 108,120,702,136.15
  5. Step 5: Solve for x
    x = 108,120,702,136.15/435,411.59
  6. Step 6: Final answer
    x = 248,318.39

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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.