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Finding the Fourth Proportional to 513,974.14, 709,292.72 and 281,397.20

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Solution

The fourth proportional to 513,974.14, 709,292.72 and 281,397.20 is: 388,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,974.14 : 709,292.72 = 281,397.20 : x
  2. Step 2: Convert to fraction form
    513,974.14/709,292.72 = 281,397.20/x
  3. Step 3: Cross multiply
    513,974.14x = 709,292.72 × 281,397.20
  4. Step 4: Simplify right side
    513,974.14x = 199,592,985,388.38
  5. Step 5: Solve for x
    x = 199,592,985,388.38/513,974.14
  6. Step 6: Final answer
    x = 388,332.74

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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.