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Finding the Fourth Proportional to 383,877.68, 575,569.84 and 159,393.12

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Solution

The fourth proportional to 383,877.68, 575,569.84 and 159,393.12 is: 238,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,877.68 : 575,569.84 = 159,393.12 : x
  2. Step 2: Convert to fraction form
    383,877.68/575,569.84 = 159,393.12/x
  3. Step 3: Cross multiply
    383,877.68x = 575,569.84 × 159,393.12
  4. Step 4: Simplify right side
    383,877.68x = 91,741,872,575.50
  5. Step 5: Solve for x
    x = 91,741,872,575.50/383,877.68
  6. Step 6: Final answer
    x = 238,987.25

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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.