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Finding the Fourth Proportional to 477,086.82, 715,718 and 157,257.69

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Solution

The fourth proportional to 477,086.82, 715,718 and 157,257.69 is: 235,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,086.82 : 715,718 = 157,257.69 : x
  2. Step 2: Convert to fraction form
    477,086.82/715,718 = 157,257.69/x
  3. Step 3: Cross multiply
    477,086.82x = 715,718 × 157,257.69
  4. Step 4: Simplify right side
    477,086.82x = 112,552,159,371.42
  5. Step 5: Solve for x
    x = 112,552,159,371.42/477,086.82
  6. Step 6: Final answer
    x = 235,915.47

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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.