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Finding the Fourth Proportional to 500,705.10, 690,968.52 and 271,257.12

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Solution

The fourth proportional to 500,705.10, 690,968.52 and 271,257.12 is: 374,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,705.10 : 690,968.52 = 271,257.12 : x
  2. Step 2: Convert to fraction form
    500,705.10/690,968.52 = 271,257.12/x
  3. Step 3: Cross multiply
    500,705.10x = 690,968.52 × 271,257.12
  4. Step 4: Simplify right side
    500,705.10x = 187,430,130,745.86
  5. Step 5: Solve for x
    x = 187,430,130,745.86/500,705.10
  6. Step 6: Final answer
    x = 374,332.38

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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.