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Finding the Fourth Proportional to 472,525.80, 708,335.10 and 156,820.20

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Solution

The fourth proportional to 472,525.80, 708,335.10 and 156,820.20 is: 235,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,525.80 : 708,335.10 = 156,820.20 : x
  2. Step 2: Convert to fraction form
    472,525.80/708,335.10 = 156,820.20/x
  3. Step 3: Cross multiply
    472,525.80x = 708,335.10 × 156,820.20
  4. Step 4: Simplify right side
    472,525.80x = 111,081,252,049.02
  5. Step 5: Solve for x
    x = 111,081,252,049.02/472,525.80
  6. Step 6: Final answer
    x = 235,079.76

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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.