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Finding the Fourth Proportional to 397,334.30, 596,001.45 and 172,948.10

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Solution

The fourth proportional to 397,334.30, 596,001.45 and 172,948.10 is: 259,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,334.30 : 596,001.45 = 172,948.10 : x
  2. Step 2: Convert to fraction form
    397,334.30/596,001.45 = 172,948.10/x
  3. Step 3: Cross multiply
    397,334.30x = 596,001.45 × 172,948.10
  4. Step 4: Simplify right side
    397,334.30x = 103,077,318,374.75
  5. Step 5: Solve for x
    x = 103,077,318,374.75/397,334.30
  6. Step 6: Final answer
    x = 259,422.15

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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.