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Finding the Fourth Proportional to 457,676.42, 686,560.13 and 169,565.14

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Solution

The fourth proportional to 457,676.42, 686,560.13 and 169,565.14 is: 254,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,676.42 : 686,560.13 = 169,565.14 : x
  2. Step 2: Convert to fraction form
    457,676.42/686,560.13 = 169,565.14/x
  3. Step 3: Cross multiply
    457,676.42x = 686,560.13 × 169,565.14
  4. Step 4: Simplify right side
    457,676.42x = 116,416,664,561.87
  5. Step 5: Solve for x
    x = 116,416,664,561.87/457,676.42
  6. Step 6: Final answer
    x = 254,364.57

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Why These Related Problems?

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