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Finding the Fourth Proportional to 564,729.57, 846,914.73 and 185,563.01

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Solution

The fourth proportional to 564,729.57, 846,914.73 and 185,563.01 is: 278,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,729.57 : 846,914.73 = 185,563.01 : x
  2. Step 2: Convert to fraction form
    564,729.57/846,914.73 = 185,563.01/x
  3. Step 3: Cross multiply
    564,729.57x = 846,914.73 × 185,563.01
  4. Step 4: Simplify right side
    564,729.57x = 157,156,046,512.14
  5. Step 5: Solve for x
    x = 157,156,046,512.14/564,729.57
  6. Step 6: Final answer
    x = 278,285.49

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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.