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Finding the Fourth Proportional to 317,765, 476,713.14 and 93,132.80

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Solution

The fourth proportional to 317,765, 476,713.14 and 93,132.80 is: 139,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,765 : 476,713.14 = 93,132.80 : x
  2. Step 2: Convert to fraction form
    317,765/476,713.14 = 93,132.80/x
  3. Step 3: Cross multiply
    317,765x = 476,713.14 × 93,132.80
  4. Step 4: Simplify right side
    317,765x = 44,397,629,524.99
  5. Step 5: Solve for x
    x = 44,397,629,524.99/317,765
  6. Step 6: Final answer
    x = 139,718.44

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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.