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Finding the Fourth Proportional to 417,956.61, 626,853.31 and 133,570.88

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Solution

The fourth proportional to 417,956.61, 626,853.31 and 133,570.88 is: 200,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,956.61 : 626,853.31 = 133,570.88 : x
  2. Step 2: Convert to fraction form
    417,956.61/626,853.31 = 133,570.88/x
  3. Step 3: Cross multiply
    417,956.61x = 626,853.31 × 133,570.88
  4. Step 4: Simplify right side
    417,956.61x = 83,729,344,445.49
  5. Step 5: Solve for x
    x = 83,729,344,445.49/417,956.61
  6. Step 6: Final answer
    x = 200,330.23

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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.