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Finding the Fourth Proportional to 413,159.55, 619,359.03 and 160,608.03

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Solution

The fourth proportional to 413,159.55, 619,359.03 and 160,608.03 is: 240,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,159.55 : 619,359.03 = 160,608.03 : x
  2. Step 2: Convert to fraction form
    413,159.55/619,359.03 = 160,608.03/x
  3. Step 3: Cross multiply
    413,159.55x = 619,359.03 × 160,608.03
  4. Step 4: Simplify right side
    413,159.55x = 99,474,033,671.01
  5. Step 5: Solve for x
    x = 99,474,033,671.01/413,159.55
  6. Step 6: Final answer
    x = 240,764.21

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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.