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Finding the Fourth Proportional to 582,585.12, 873,971.64 and 172,296

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Solution

The fourth proportional to 582,585.12, 873,971.64 and 172,296 is: 258,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,585.12 : 873,971.64 = 172,296 : x
  2. Step 2: Convert to fraction form
    582,585.12/873,971.64 = 172,296/x
  3. Step 3: Cross multiply
    582,585.12x = 873,971.64 × 172,296
  4. Step 4: Simplify right side
    582,585.12x = 150,581,817,685.44
  5. Step 5: Solve for x
    x = 150,581,817,685.44/582,585.12
  6. Step 6: Final answer
    x = 258,471.79

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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.