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Finding the Fourth Proportional to 337,692, 506,712.96 and 171,480

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Solution

The fourth proportional to 337,692, 506,712.96 and 171,480 is: 257,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,692 : 506,712.96 = 171,480 : x
  2. Step 2: Convert to fraction form
    337,692/506,712.96 = 171,480/x
  3. Step 3: Cross multiply
    337,692x = 506,712.96 × 171,480
  4. Step 4: Simplify right side
    337,692x = 86,891,138,380.80
  5. Step 5: Solve for x
    x = 86,891,138,380.80/337,692
  6. Step 6: Final answer
    x = 257,308.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.