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Finding the Fourth Proportional to 564,675.92, 846,834.04 and 185,508.64

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Solution

The fourth proportional to 564,675.92, 846,834.04 and 185,508.64 is: 278,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,675.92 : 846,834.04 = 185,508.64 : x
  2. Step 2: Convert to fraction form
    564,675.92/846,834.04 = 185,508.64/x
  3. Step 3: Cross multiply
    564,675.92x = 846,834.04 × 185,508.64
  4. Step 4: Simplify right side
    564,675.92x = 157,095,031,066.11
  5. Step 5: Solve for x
    x = 157,095,031,066.11/564,675.92
  6. Step 6: Final answer
    x = 278,203.88

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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.