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Finding the Fourth Proportional to 261,306, 391,963.86 and 74,322.36

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Solution

The fourth proportional to 261,306, 391,963.86 and 74,322.36 is: 111,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,306 : 391,963.86 = 74,322.36 : x
  2. Step 2: Convert to fraction form
    261,306/391,963.86 = 74,322.36/x
  3. Step 3: Cross multiply
    261,306x = 391,963.86 × 74,322.36
  4. Step 4: Simplify right side
    261,306x = 29,131,679,109.91
  5. Step 5: Solve for x
    x = 29,131,679,109.91/261,306
  6. Step 6: Final answer
    x = 111,484.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.