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Finding the Fourth Proportional to 488,543.11, 732,814.96 and 133,530.43

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Solution

The fourth proportional to 488,543.11, 732,814.96 and 133,530.43 is: 200,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,543.11 : 732,814.96 = 133,530.43 : x
  2. Step 2: Convert to fraction form
    488,543.11/732,814.96 = 133,530.43/x
  3. Step 3: Cross multiply
    488,543.11x = 732,814.96 × 133,530.43
  4. Step 4: Simplify right side
    488,543.11x = 97,853,096,719.23
  5. Step 5: Solve for x
    x = 97,853,096,719.23/488,543.11
  6. Step 6: Final answer
    x = 200,295.73

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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.