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Finding the Fourth Proportional to 475,515.95, 656,279.13 and 294,286.23

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Solution

The fourth proportional to 475,515.95, 656,279.13 and 294,286.23 is: 406,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,515.95 : 656,279.13 = 294,286.23 : x
  2. Step 2: Convert to fraction form
    475,515.95/656,279.13 = 294,286.23/x
  3. Step 3: Cross multiply
    475,515.95x = 656,279.13 × 294,286.23
  4. Step 4: Simplify right side
    475,515.95x = 193,133,910,995.38
  5. Step 5: Solve for x
    x = 193,133,910,995.38/475,515.95
  6. Step 6: Final answer
    x = 406,156.54

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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.