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Finding the Fourth Proportional to 488,761.12, 732,187.23 and 232,228.61

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Solution

The fourth proportional to 488,761.12, 732,187.23 and 232,228.61 is: 347,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,761.12 : 732,187.23 = 232,228.61 : x
  2. Step 2: Convert to fraction form
    488,761.12/732,187.23 = 232,228.61/x
  3. Step 3: Cross multiply
    488,761.12x = 732,187.23 × 232,228.61
  4. Step 4: Simplify right side
    488,761.12x = 170,034,819,021.71
  5. Step 5: Solve for x
    x = 170,034,819,021.71/488,761.12
  6. Step 6: Final answer
    x = 347,889.41

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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.