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Finding the Fourth Proportional to 564,645.27, 846,788.27 and 185,478.04

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Solution

The fourth proportional to 564,645.27, 846,788.27 and 185,478.04 is: 278,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,645.27 : 846,788.27 = 185,478.04 : x
  2. Step 2: Convert to fraction form
    564,645.27/846,788.27 = 185,478.04/x
  3. Step 3: Cross multiply
    564,645.27x = 846,788.27 × 185,478.04
  4. Step 4: Simplify right side
    564,645.27x = 157,060,624,380.65
  5. Step 5: Solve for x
    x = 157,060,624,380.65/564,645.27
  6. Step 6: Final answer
    x = 278,158.04

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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.