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Finding the Fourth Proportional to 703,024.80, 970,191.96 and 431,242.56

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Solution

The fourth proportional to 703,024.80, 970,191.96 and 431,242.56 is: 595,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,024.80 : 970,191.96 = 431,242.56 : x
  2. Step 2: Convert to fraction form
    703,024.80/970,191.96 = 431,242.56/x
  3. Step 3: Cross multiply
    703,024.80x = 970,191.96 × 431,242.56
  4. Step 4: Simplify right side
    703,024.80x = 418,388,064,521.82
  5. Step 5: Solve for x
    x = 418,388,064,521.82/703,024.80
  6. Step 6: Final answer
    x = 595,125.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.