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Finding the Fourth Proportional to 391,126.51, 586,936.57 and 166,486.59

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Solution

The fourth proportional to 391,126.51, 586,936.57 and 166,486.59 is: 249,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,126.51 : 586,936.57 = 166,486.59 : x
  2. Step 2: Convert to fraction form
    391,126.51/586,936.57 = 166,486.59/x
  3. Step 3: Cross multiply
    391,126.51x = 586,936.57 × 166,486.59
  4. Step 4: Simplify right side
    391,126.51x = 97,717,067,747.42
  5. Step 5: Solve for x
    x = 97,717,067,747.42/391,126.51
  6. Step 6: Final answer
    x = 249,834.94

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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.