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Finding the Fourth Proportional to 472,357.80, 708,083.10 and 156,652.20

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Solution

The fourth proportional to 472,357.80, 708,083.10 and 156,652.20 is: 234,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,357.80 : 708,083.10 = 156,652.20 : x
  2. Step 2: Convert to fraction form
    472,357.80/708,083.10 = 156,652.20/x
  3. Step 3: Cross multiply
    472,357.80x = 708,083.10 × 156,652.20
  4. Step 4: Simplify right side
    472,357.80x = 110,922,775,397.82
  5. Step 5: Solve for x
    x = 110,922,775,397.82/472,357.80
  6. Step 6: Final answer
    x = 234,827.87

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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.