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Finding the Fourth Proportional to 508,014.20, 762,478.14 and 271,559.00

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Solution

The fourth proportional to 508,014.20, 762,478.14 and 271,559.00 is: 407,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,014.20 : 762,478.14 = 271,559.00 : x
  2. Step 2: Convert to fraction form
    508,014.20/762,478.14 = 271,559.00/x
  3. Step 3: Cross multiply
    508,014.20x = 762,478.14 × 271,559.00
  4. Step 4: Simplify right side
    508,014.20x = 207,057,804,144.80
  5. Step 5: Solve for x
    x = 207,057,804,144.80/508,014.20
  6. Step 6: Final answer
    x = 407,582.71

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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.