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Finding the Fourth Proportional to 413,152.62, 619,657.44 and 109,548.78

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Solution

The fourth proportional to 413,152.62, 619,657.44 and 109,548.78 is: 164,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,152.62 : 619,657.44 = 109,548.78 : x
  2. Step 2: Convert to fraction form
    413,152.62/619,657.44 = 109,548.78/x
  3. Step 3: Cross multiply
    413,152.62x = 619,657.44 × 109,548.78
  4. Step 4: Simplify right side
    413,152.62x = 67,882,716,569.92
  5. Step 5: Solve for x
    x = 67,882,716,569.92/413,152.62
  6. Step 6: Final answer
    x = 164,304.21

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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.