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Finding the Fourth Proportional to 349,438.74, 523,685.16 and 159,665.46

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Solution

The fourth proportional to 349,438.74, 523,685.16 and 159,665.46 is: 239,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,438.74 : 523,685.16 = 159,665.46 : x
  2. Step 2: Convert to fraction form
    349,438.74/523,685.16 = 159,665.46/x
  3. Step 3: Cross multiply
    349,438.74x = 523,685.16 × 159,665.46
  4. Step 4: Simplify right side
    349,438.74x = 83,614,431,966.57
  5. Step 5: Solve for x
    x = 83,614,431,966.57/349,438.74
  6. Step 6: Final answer
    x = 239,282.09

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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.