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Finding the Fourth Proportional to 414,108.26, 621,293.70 and 147,862.88

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Solution

The fourth proportional to 414,108.26, 621,293.70 and 147,862.88 is: 221,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,108.26 : 621,293.70 = 147,862.88 : x
  2. Step 2: Convert to fraction form
    414,108.26/621,293.70 = 147,862.88/x
  3. Step 3: Cross multiply
    414,108.26x = 621,293.70 × 147,862.88
  4. Step 4: Simplify right side
    414,108.26x = 91,866,275,807.86
  5. Step 5: Solve for x
    x = 91,866,275,807.86/414,108.26
  6. Step 6: Final answer
    x = 221,841.21

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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.