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Finding the Fourth Proportional to 653,534.53, 980,685.50 and 274,426.11

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Solution

The fourth proportional to 653,534.53, 980,685.50 and 274,426.11 is: 411,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,534.53 : 980,685.50 = 274,426.11 : x
  2. Step 2: Convert to fraction form
    653,534.53/980,685.50 = 274,426.11/x
  3. Step 3: Cross multiply
    653,534.53x = 980,685.50 × 274,426.11
  4. Step 4: Simplify right side
    653,534.53x = 269,125,705,526.27
  5. Step 5: Solve for x
    x = 269,125,705,526.27/653,534.53
  6. Step 6: Final answer
    x = 411,800.29

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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.