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Finding the Fourth Proportional to 564,865.38, 846,640.15 and 209,652.84

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Solution

The fourth proportional to 564,865.38, 846,640.15 and 209,652.84 is: 314,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,865.38 : 846,640.15 = 209,652.84 : x
  2. Step 2: Convert to fraction form
    564,865.38/846,640.15 = 209,652.84/x
  3. Step 3: Cross multiply
    564,865.38x = 846,640.15 × 209,652.84
  4. Step 4: Simplify right side
    564,865.38x = 177,500,511,381.39
  5. Step 5: Solve for x
    x = 177,500,511,381.39/564,865.38
  6. Step 6: Final answer
    x = 314,235.07

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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.