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Finding the Fourth Proportional to 337,740.53, 466,005.62 and 201,747.86

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Solution

The fourth proportional to 337,740.53, 466,005.62 and 201,747.86 is: 278,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,740.53 : 466,005.62 = 201,747.86 : x
  2. Step 2: Convert to fraction form
    337,740.53/466,005.62 = 201,747.86/x
  3. Step 3: Cross multiply
    337,740.53x = 466,005.62 × 201,747.86
  4. Step 4: Simplify right side
    337,740.53x = 94,015,634,757.31
  5. Step 5: Solve for x
    x = 94,015,634,757.31/337,740.53
  6. Step 6: Final answer
    x = 278,366.46

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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.