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Finding the Fourth Proportional to 413,245.80, 619,868.70 and 236,098.80

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Solution

The fourth proportional to 413,245.80, 619,868.70 and 236,098.80 is: 354,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,245.80 : 619,868.70 = 236,098.80 : x
  2. Step 2: Convert to fraction form
    413,245.80/619,868.70 = 236,098.80/x
  3. Step 3: Cross multiply
    413,245.80x = 619,868.70 × 236,098.80
  4. Step 4: Simplify right side
    413,245.80x = 146,350,256,227.56
  5. Step 5: Solve for x
    x = 146,350,256,227.56/413,245.80
  6. Step 6: Final answer
    x = 354,148.20

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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.