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Finding the Fourth Proportional to 475,535.71, 656,306.42 and 294,305.95

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Solution

The fourth proportional to 475,535.71, 656,306.42 and 294,305.95 is: 406,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,535.71 : 656,306.42 = 294,305.95 : x
  2. Step 2: Convert to fraction form
    475,535.71/656,306.42 = 294,305.95/x
  3. Step 3: Cross multiply
    475,535.71x = 656,306.42 × 294,305.95
  4. Step 4: Simplify right side
    475,535.71x = 193,154,882,957.67
  5. Step 5: Solve for x
    x = 193,154,882,957.67/475,535.71
  6. Step 6: Final answer
    x = 406,183.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.