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Finding the Fourth Proportional to 564,772, 846,978.36 and 185,605.24

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Solution

The fourth proportional to 564,772, 846,978.36 and 185,605.24 is: 278,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,772 : 846,978.36 = 185,605.24 : x
  2. Step 2: Convert to fraction form
    564,772/846,978.36 = 185,605.24/x
  3. Step 3: Cross multiply
    564,772x = 846,978.36 × 185,605.24
  4. Step 4: Simplify right side
    564,772x = 157,203,621,782.61
  5. Step 5: Solve for x
    x = 157,203,621,782.61/564,772
  6. Step 6: Final answer
    x = 278,348.82

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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.