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Finding the Fourth Proportional to 413,230.69, 619,802.28 and 132,726.07

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Solution

The fourth proportional to 413,230.69, 619,802.28 and 132,726.07 is: 199,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,230.69 : 619,802.28 = 132,726.07 : x
  2. Step 2: Convert to fraction form
    413,230.69/619,802.28 = 132,726.07/x
  3. Step 3: Cross multiply
    413,230.69x = 619,802.28 × 132,726.07
  4. Step 4: Simplify right side
    413,230.69x = 82,263,920,801.44
  5. Step 5: Solve for x
    x = 82,263,920,801.44/413,230.69
  6. Step 6: Final answer
    x = 199,075.05

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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.