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Finding the Fourth Proportional to 415,695.20, 623,726.40 and 202,344.80

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Solution

The fourth proportional to 415,695.20, 623,726.40 and 202,344.80 is: 303,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,695.20 : 623,726.40 = 202,344.80 : x
  2. Step 2: Convert to fraction form
    415,695.20/623,726.40 = 202,344.80/x
  3. Step 3: Cross multiply
    415,695.20x = 623,726.40 × 202,344.80
  4. Step 4: Simplify right side
    415,695.20x = 126,207,793,662.72
  5. Step 5: Solve for x
    x = 126,207,793,662.72/415,695.20
  6. Step 6: Final answer
    x = 303,606.57

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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.