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Finding the Fourth Proportional to 564,738.80, 847,213.10 and 185,680.67

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Solution

The fourth proportional to 564,738.80, 847,213.10 and 185,680.67 is: 278,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,738.80 : 847,213.10 = 185,680.67 : x
  2. Step 2: Convert to fraction form
    564,738.80/847,213.10 = 185,680.67/x
  3. Step 3: Cross multiply
    564,738.80x = 847,213.10 × 185,680.67
  4. Step 4: Simplify right side
    564,738.80x = 157,311,096,040.78
  5. Step 5: Solve for x
    x = 157,311,096,040.78/564,738.80
  6. Step 6: Final answer
    x = 278,555.50

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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.