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Finding the Fourth Proportional to 382,833.84, 574,251.12 and 172,225.92

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Solution

The fourth proportional to 382,833.84, 574,251.12 and 172,225.92 is: 258,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,833.84 : 574,251.12 = 172,225.92 : x
  2. Step 2: Convert to fraction form
    382,833.84/574,251.12 = 172,225.92/x
  3. Step 3: Cross multiply
    382,833.84x = 574,251.12 × 172,225.92
  4. Step 4: Simplify right side
    382,833.84x = 98,900,927,453.03
  5. Step 5: Solve for x
    x = 98,900,927,453.03/382,833.84
  6. Step 6: Final answer
    x = 258,339.04

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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.