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Finding the Fourth Proportional to 275,541.95, 413,478.47 and 117,770.41

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Solution

The fourth proportional to 275,541.95, 413,478.47 and 117,770.41 is: 176,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,541.95 : 413,478.47 = 117,770.41 : x
  2. Step 2: Convert to fraction form
    275,541.95/413,478.47 = 117,770.41/x
  3. Step 3: Cross multiply
    275,541.95x = 413,478.47 × 117,770.41
  4. Step 4: Simplify right side
    275,541.95x = 48,695,527,423.53
  5. Step 5: Solve for x
    x = 48,695,527,423.53/275,541.95
  6. Step 6: Final answer
    x = 176,726.36

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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.