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Finding the Fourth Proportional to 409,687.70, 614,531.55 and 241,726.10

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Solution

The fourth proportional to 409,687.70, 614,531.55 and 241,726.10 is: 362,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,687.70 : 614,531.55 = 241,726.10 : x
  2. Step 2: Convert to fraction form
    409,687.70/614,531.55 = 241,726.10/x
  3. Step 3: Cross multiply
    409,687.70x = 614,531.55 × 241,726.10
  4. Step 4: Simplify right side
    409,687.70x = 148,548,314,908.46
  5. Step 5: Solve for x
    x = 148,548,314,908.46/409,687.70
  6. Step 6: Final answer
    x = 362,589.15

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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.