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Finding the Fourth Proportional to 471,206.40, 706,572.96 and 218,269.44

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Solution

The fourth proportional to 471,206.40, 706,572.96 and 218,269.44 is: 327,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,206.40 : 706,572.96 = 218,269.44 : x
  2. Step 2: Convert to fraction form
    471,206.40/706,572.96 = 218,269.44/x
  3. Step 3: Cross multiply
    471,206.40x = 706,572.96 × 218,269.44
  4. Step 4: Simplify right side
    471,206.40x = 154,223,284,298.34
  5. Step 5: Solve for x
    x = 154,223,284,298.34/471,206.40
  6. Step 6: Final answer
    x = 327,294.55

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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.