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Finding the Fourth Proportional to 413,119.76, 619,548.41 and 132,571.40

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Solution

The fourth proportional to 413,119.76, 619,548.41 and 132,571.40 is: 198,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,119.76 : 619,548.41 = 132,571.40 : x
  2. Step 2: Convert to fraction form
    413,119.76/619,548.41 = 132,571.40/x
  3. Step 3: Cross multiply
    413,119.76x = 619,548.41 × 132,571.40
  4. Step 4: Simplify right side
    413,119.76x = 82,134,397,315.16
  5. Step 5: Solve for x
    x = 82,134,397,315.16/413,119.76
  6. Step 6: Final answer
    x = 198,814.98

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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.