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Finding the Fourth Proportional to 564,958.45, 847,439.07 and 138,496.15

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Solution

The fourth proportional to 564,958.45, 847,439.07 and 138,496.15 is: 207,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,958.45 : 847,439.07 = 138,496.15 : x
  2. Step 2: Convert to fraction form
    564,958.45/847,439.07 = 138,496.15/x
  3. Step 3: Cross multiply
    564,958.45x = 847,439.07 × 138,496.15
  4. Step 4: Simplify right side
    564,958.45x = 117,367,048,554.58
  5. Step 5: Solve for x
    x = 117,367,048,554.58/564,958.45
  6. Step 6: Final answer
    x = 207,744.57

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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.