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Finding the Fourth Proportional to 500,464.96, 690,642.02 and 271,024.04

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Solution

The fourth proportional to 500,464.96, 690,642.02 and 271,024.04 is: 374,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,464.96 : 690,642.02 = 271,024.04 : x
  2. Step 2: Convert to fraction form
    500,464.96/690,642.02 = 271,024.04/x
  3. Step 3: Cross multiply
    500,464.96x = 690,642.02 × 271,024.04
  4. Step 4: Simplify right side
    500,464.96x = 187,180,590,454.16
  5. Step 5: Solve for x
    x = 187,180,590,454.16/500,464.96
  6. Step 6: Final answer
    x = 374,013.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.