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Finding the Fourth Proportional to 564,452.55, 846,826.38 and 327,567.51

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Solution

The fourth proportional to 564,452.55, 846,826.38 and 327,567.51 is: 491,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,452.55 : 846,826.38 = 327,567.51 : x
  2. Step 2: Convert to fraction form
    564,452.55/846,826.38 = 327,567.51/x
  3. Step 3: Cross multiply
    564,452.55x = 846,826.38 × 327,567.51
  4. Step 4: Simplify right side
    564,452.55x = 277,392,808,698.91
  5. Step 5: Solve for x
    x = 277,392,808,698.91/564,452.55
  6. Step 6: Final answer
    x = 491,436.90

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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.