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Finding the Fourth Proportional to 472,461.30, 708,691.95 and 156,918.22

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Solution

The fourth proportional to 472,461.30, 708,691.95 and 156,918.22 is: 235,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,461.30 : 708,691.95 = 156,918.22 : x
  2. Step 2: Convert to fraction form
    472,461.30/708,691.95 = 156,918.22/x
  3. Step 3: Cross multiply
    472,461.30x = 708,691.95 × 156,918.22
  4. Step 4: Simplify right side
    472,461.30x = 111,206,677,550.60
  5. Step 5: Solve for x
    x = 111,206,677,550.60/472,461.30
  6. Step 6: Final answer
    x = 235,377.33

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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.