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Finding the Fourth Proportional to 318,170, 477,257.88 and 96,554

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Solution

The fourth proportional to 318,170, 477,257.88 and 96,554 is: 144,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,170 : 477,257.88 = 96,554 : x
  2. Step 2: Convert to fraction form
    318,170/477,257.88 = 96,554/x
  3. Step 3: Cross multiply
    318,170x = 477,257.88 × 96,554
  4. Step 4: Simplify right side
    318,170x = 46,081,157,345.52
  5. Step 5: Solve for x
    x = 46,081,157,345.52/318,170
  6. Step 6: Final answer
    x = 144,831.87

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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.