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Finding the Fourth Proportional to 472,335.30, 708,049.35 and 156,629.70

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Solution

The fourth proportional to 472,335.30, 708,049.35 and 156,629.70 is: 234,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,335.30 : 708,049.35 = 156,629.70 : x
  2. Step 2: Convert to fraction form
    472,335.30/708,049.35 = 156,629.70/x
  3. Step 3: Cross multiply
    472,335.30x = 708,049.35 × 156,629.70
  4. Step 4: Simplify right side
    472,335.30x = 110,901,557,275.70
  5. Step 5: Solve for x
    x = 110,901,557,275.70/472,335.30
  6. Step 6: Final answer
    x = 234,794.13

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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.