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Finding the Fourth Proportional to 349,167.42, 523,740.78 and 96,463.08

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Solution

The fourth proportional to 349,167.42, 523,740.78 and 96,463.08 is: 144,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,167.42 : 523,740.78 = 96,463.08 : x
  2. Step 2: Convert to fraction form
    349,167.42/523,740.78 = 96,463.08/x
  3. Step 3: Cross multiply
    349,167.42x = 523,740.78 × 96,463.08
  4. Step 4: Simplify right side
    349,167.42x = 50,521,648,760.40
  5. Step 5: Solve for x
    x = 50,521,648,760.40/349,167.42
  6. Step 6: Final answer
    x = 144,691.76

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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.