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Finding the Fourth Proportional to 564,729.06, 847,197.54 and 185,671.20

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Solution

The fourth proportional to 564,729.06, 847,197.54 and 185,671.20 is: 278,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,729.06 : 847,197.54 = 185,671.20 : x
  2. Step 2: Convert to fraction form
    564,729.06/847,197.54 = 185,671.20/x
  3. Step 3: Cross multiply
    564,729.06x = 847,197.54 × 185,671.20
  4. Step 4: Simplify right side
    564,729.06x = 157,300,183,888.85
  5. Step 5: Solve for x
    x = 157,300,183,888.85/564,729.06
  6. Step 6: Final answer
    x = 278,540.98

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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.