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Finding the Fourth Proportional to 383,877.67, 575,569.86 and 159,393.10

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Solution

The fourth proportional to 383,877.67, 575,569.86 and 159,393.10 is: 238,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,877.67 : 575,569.86 = 159,393.10 : x
  2. Step 2: Convert to fraction form
    383,877.67/575,569.86 = 159,393.10/x
  3. Step 3: Cross multiply
    383,877.67x = 575,569.86 × 159,393.10
  4. Step 4: Simplify right side
    383,877.67x = 91,741,864,251.97
  5. Step 5: Solve for x
    x = 91,741,864,251.97/383,877.67
  6. Step 6: Final answer
    x = 238,987.24

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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.