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Finding the Fourth Proportional to 457,377.42, 686,694.48 and 232,888.62

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Solution

The fourth proportional to 457,377.42, 686,694.48 and 232,888.62 is: 349,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,377.42 : 686,694.48 = 232,888.62 : x
  2. Step 2: Convert to fraction form
    457,377.42/686,694.48 = 232,888.62/x
  3. Step 3: Cross multiply
    457,377.42x = 686,694.48 × 232,888.62
  4. Step 4: Simplify right side
    457,377.42x = 159,923,329,808.82
  5. Step 5: Solve for x
    x = 159,923,329,808.82/457,377.42
  6. Step 6: Final answer
    x = 349,652.87

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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.