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Finding the Fourth Proportional to 391,055.38, 539,656.42 and 212,207.38

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Solution

The fourth proportional to 391,055.38, 539,656.42 and 212,207.38 is: 292,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,055.38 : 539,656.42 = 212,207.38 : x
  2. Step 2: Convert to fraction form
    391,055.38/539,656.42 = 212,207.38/x
  3. Step 3: Cross multiply
    391,055.38x = 539,656.42 × 212,207.38
  4. Step 4: Simplify right side
    391,055.38x = 114,519,074,988.38
  5. Step 5: Solve for x
    x = 114,519,074,988.38/391,055.38
  6. Step 6: Final answer
    x = 292,846.18

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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.