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Finding the Fourth Proportional to 465,082.24, 698,038.08 and 215,904.64

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Solution

The fourth proportional to 465,082.24, 698,038.08 and 215,904.64 is: 324,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,082.24 : 698,038.08 = 215,904.64 : x
  2. Step 2: Convert to fraction form
    465,082.24/698,038.08 = 215,904.64/x
  3. Step 3: Cross multiply
    465,082.24x = 698,038.08 × 215,904.64
  4. Step 4: Simplify right side
    465,082.24x = 150,709,660,368.69
  5. Step 5: Solve for x
    x = 150,709,660,368.69/465,082.24
  6. Step 6: Final answer
    x = 324,049.49

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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.