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Finding the Fourth Proportional to 397,374.30, 596,061.45 and 172,842.30

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Solution

The fourth proportional to 397,374.30, 596,061.45 and 172,842.30 is: 259,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,374.30 : 596,061.45 = 172,842.30 : x
  2. Step 2: Convert to fraction form
    397,374.30/596,061.45 = 172,842.30/x
  3. Step 3: Cross multiply
    397,374.30x = 596,061.45 × 172,842.30
  4. Step 4: Simplify right side
    397,374.30x = 103,024,631,959.34
  5. Step 5: Solve for x
    x = 103,024,631,959.34/397,374.30
  6. Step 6: Final answer
    x = 259,263.45

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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.