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Finding the Fourth Proportional to 314,506.75, 471,763.77 and 77,851.48

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Solution

The fourth proportional to 314,506.75, 471,763.77 and 77,851.48 is: 116,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,506.75 : 471,763.77 = 77,851.48 : x
  2. Step 2: Convert to fraction form
    314,506.75/471,763.77 = 77,851.48/x
  3. Step 3: Cross multiply
    314,506.75x = 471,763.77 × 77,851.48
  4. Step 4: Simplify right side
    314,506.75x = 36,727,507,704.88
  5. Step 5: Solve for x
    x = 36,727,507,704.88/314,506.75
  6. Step 6: Final answer
    x = 116,778.12

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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.