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Finding the Fourth Proportional to 391,283.74, 586,814.89 and 177,932.32

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Solution

The fourth proportional to 391,283.74, 586,814.89 and 177,932.32 is: 266,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,283.74 : 586,814.89 = 177,932.32 : x
  2. Step 2: Convert to fraction form
    391,283.74/586,814.89 = 177,932.32/x
  3. Step 3: Cross multiply
    391,283.74x = 586,814.89 × 177,932.32
  4. Step 4: Simplify right side
    391,283.74x = 104,413,335,110.63
  5. Step 5: Solve for x
    x = 104,413,335,110.63/391,283.74
  6. Step 6: Final answer
    x = 266,848.13

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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.