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Finding the Fourth Proportional to 314,809.20, 472,040.60 and 215,082

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Solution

The fourth proportional to 314,809.20, 472,040.60 and 215,082 is: 322,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,809.20 : 472,040.60 = 215,082 : x
  2. Step 2: Convert to fraction form
    314,809.20/472,040.60 = 215,082/x
  3. Step 3: Cross multiply
    314,809.20x = 472,040.60 × 215,082
  4. Step 4: Simplify right side
    314,809.20x = 101,527,435,253.79
  5. Step 5: Solve for x
    x = 101,527,435,253.79/314,809.20
  6. Step 6: Final answer
    x = 322,504.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.