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Finding the Fourth Proportional to 337,741.53, 466,007 and 201,748.86

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Solution

The fourth proportional to 337,741.53, 466,007 and 201,748.86 is: 278,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,741.53 : 466,007 = 201,748.86 : x
  2. Step 2: Convert to fraction form
    337,741.53/466,007 = 201,748.86/x
  3. Step 3: Cross multiply
    337,741.53x = 466,007 × 201,748.86
  4. Step 4: Simplify right side
    337,741.53x = 94,016,381,002.02
  5. Step 5: Solve for x
    x = 94,016,381,002.02/337,741.53
  6. Step 6: Final answer
    x = 278,367.84

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1.5x scale

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.