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Finding the Fourth Proportional to 470,952.72, 649,915.92 and 256,092.66

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Solution

The fourth proportional to 470,952.72, 649,915.92 and 256,092.66 is: 353,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,952.72 : 649,915.92 = 256,092.66 : x
  2. Step 2: Convert to fraction form
    470,952.72/649,915.92 = 256,092.66/x
  3. Step 3: Cross multiply
    470,952.72x = 649,915.92 × 256,092.66
  4. Step 4: Simplify right side
    470,952.72x = 166,438,696,729.15
  5. Step 5: Solve for x
    x = 166,438,696,729.15/470,952.72
  6. Step 6: Final answer
    x = 353,408.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.