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Finding the Fourth Proportional to 564,834.96, 847,072.98 and 185,668.20

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Solution

The fourth proportional to 564,834.96, 847,072.98 and 185,668.20 is: 278,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,834.96 : 847,072.98 = 185,668.20 : x
  2. Step 2: Convert to fraction form
    564,834.96/847,072.98 = 185,668.20/x
  3. Step 3: Cross multiply
    564,834.96x = 847,072.98 × 185,668.20
  4. Step 4: Simplify right side
    564,834.96x = 157,274,515,465.24
  5. Step 5: Solve for x
    x = 157,274,515,465.24/564,834.96
  6. Step 6: Final answer
    x = 278,443.31

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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.