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Finding the Fourth Proportional to 472,518.04, 708,374.90 and 206,079.88

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Solution

The fourth proportional to 472,518.04, 708,374.90 and 206,079.88 is: 308,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,518.04 : 708,374.90 = 206,079.88 : x
  2. Step 2: Convert to fraction form
    472,518.04/708,374.90 = 206,079.88/x
  3. Step 3: Cross multiply
    472,518.04x = 708,374.90 × 206,079.88
  4. Step 4: Simplify right side
    472,518.04x = 145,981,814,387.01
  5. Step 5: Solve for x
    x = 145,981,814,387.01/472,518.04
  6. Step 6: Final answer
    x = 308,944.43

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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.