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Finding the Fourth Proportional to 413,462.71, 619,800.40 and 132,783.13

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Solution

The fourth proportional to 413,462.71, 619,800.40 and 132,783.13 is: 199,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,462.71 : 619,800.40 = 132,783.13 : x
  2. Step 2: Convert to fraction form
    413,462.71/619,800.40 = 132,783.13/x
  3. Step 3: Cross multiply
    413,462.71x = 619,800.40 × 132,783.13
  4. Step 4: Simplify right side
    413,462.71x = 82,299,033,324.33
  5. Step 5: Solve for x
    x = 82,299,033,324.33/413,462.71
  6. Step 6: Final answer
    x = 199,048.26

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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.