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Finding the Fourth Proportional to 488,494.92, 732,762.94 and 133,507.97

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Solution

The fourth proportional to 488,494.92, 732,762.94 and 133,507.97 is: 200,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,494.92 : 732,762.94 = 133,507.97 : x
  2. Step 2: Convert to fraction form
    488,494.92/732,762.94 = 133,507.97/x
  3. Step 3: Cross multiply
    488,494.92x = 732,762.94 × 133,507.97
  4. Step 4: Simplify right side
    488,494.92x = 97,829,692,610.63
  5. Step 5: Solve for x
    x = 97,829,692,610.63/488,494.92
  6. Step 6: Final answer
    x = 200,267.57

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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.