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Finding the Fourth Proportional to 488,023.30, 732,013.40 and 133,037.34

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Solution

The fourth proportional to 488,023.30, 732,013.40 and 133,037.34 is: 199,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,023.30 : 732,013.40 = 133,037.34 : x
  2. Step 2: Convert to fraction form
    488,023.30/732,013.40 = 133,037.34/x
  3. Step 3: Cross multiply
    488,023.30x = 732,013.40 × 133,037.34
  4. Step 4: Simplify right side
    488,023.30x = 97,385,115,580.36
  5. Step 5: Solve for x
    x = 97,385,115,580.36/488,023.30
  6. Step 6: Final answer
    x = 199,550.14

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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.