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Finding the Fourth Proportional to 564,155.28, 846,099.72 and 264,842.64

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Solution

The fourth proportional to 564,155.28, 846,099.72 and 264,842.64 is: 397,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,155.28 : 846,099.72 = 264,842.64 : x
  2. Step 2: Convert to fraction form
    564,155.28/846,099.72 = 264,842.64/x
  3. Step 3: Cross multiply
    564,155.28x = 846,099.72 × 264,842.64
  4. Step 4: Simplify right side
    564,155.28x = 224,083,283,548.06
  5. Step 5: Solve for x
    x = 224,083,283,548.06/564,155.28
  6. Step 6: Final answer
    x = 397,201.43

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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.