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Finding the Fourth Proportional to 488,165.68, 732,107.12 and 146,595.33

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Solution

The fourth proportional to 488,165.68, 732,107.12 and 146,595.33 is: 219,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,165.68 : 732,107.12 = 146,595.33 : x
  2. Step 2: Convert to fraction form
    488,165.68/732,107.12 = 146,595.33/x
  3. Step 3: Cross multiply
    488,165.68x = 732,107.12 × 146,595.33
  4. Step 4: Simplify right side
    488,165.68x = 107,323,484,851.75
  5. Step 5: Solve for x
    x = 107,323,484,851.75/488,165.68
  6. Step 6: Final answer
    x = 219,850.54

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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.