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Finding the Fourth Proportional to 574,139.86, 861,334.25 and 174,770.19

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Solution

The fourth proportional to 574,139.86, 861,334.25 and 174,770.19 is: 262,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,139.86 : 861,334.25 = 174,770.19 : x
  2. Step 2: Convert to fraction form
    574,139.86/861,334.25 = 174,770.19/x
  3. Step 3: Cross multiply
    574,139.86x = 861,334.25 × 174,770.19
  4. Step 4: Simplify right side
    574,139.86x = 150,535,550,526.01
  5. Step 5: Solve for x
    x = 150,535,550,526.01/574,139.86
  6. Step 6: Final answer
    x = 262,193.17

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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.