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Finding the Fourth Proportional to 564,732.80, 847,204.10 and 185,674.67

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Solution

The fourth proportional to 564,732.80, 847,204.10 and 185,674.67 is: 278,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,732.80 : 847,204.10 = 185,674.67 : x
  2. Step 2: Convert to fraction form
    564,732.80/847,204.10 = 185,674.67/x
  3. Step 3: Cross multiply
    564,732.80x = 847,204.10 × 185,674.67
  4. Step 4: Simplify right side
    564,732.80x = 157,304,341,690.15
  5. Step 5: Solve for x
    x = 157,304,341,690.15/564,732.80
  6. Step 6: Final answer
    x = 278,546.49

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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.