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Finding the Fourth Proportional to 488,161.22, 732,434.56 and 151,228.15

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Solution

The fourth proportional to 488,161.22, 732,434.56 and 151,228.15 is: 226,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,161.22 : 732,434.56 = 151,228.15 : x
  2. Step 2: Convert to fraction form
    488,161.22/732,434.56 = 151,228.15/x
  3. Step 3: Cross multiply
    488,161.22x = 732,434.56 × 151,228.15
  4. Step 4: Simplify right side
    488,161.22x = 110,764,721,295.71
  5. Step 5: Solve for x
    x = 110,764,721,295.71/488,161.22
  6. Step 6: Final answer
    x = 226,901.93

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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.