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Finding the Fourth Proportional to 614,126.43, 921,707.24 and 259,395.03

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Solution

The fourth proportional to 614,126.43, 921,707.24 and 259,395.03 is: 389,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,126.43 : 921,707.24 = 259,395.03 : x
  2. Step 2: Convert to fraction form
    614,126.43/921,707.24 = 259,395.03/x
  3. Step 3: Cross multiply
    614,126.43x = 921,707.24 × 259,395.03
  4. Step 4: Simplify right side
    614,126.43x = 239,086,275,874.04
  5. Step 5: Solve for x
    x = 239,086,275,874.04/614,126.43
  6. Step 6: Final answer
    x = 389,311.16

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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.