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Finding the Fourth Proportional to 463,250.80, 695,106.60 and 182,777.20

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Solution

The fourth proportional to 463,250.80, 695,106.60 and 182,777.20 is: 274,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,250.80 : 695,106.60 = 182,777.20 : x
  2. Step 2: Convert to fraction form
    463,250.80/695,106.60 = 182,777.20/x
  3. Step 3: Cross multiply
    463,250.80x = 695,106.60 × 182,777.20
  4. Step 4: Simplify right side
    463,250.80x = 127,049,638,049.52
  5. Step 5: Solve for x
    x = 127,049,638,049.52/463,250.80
  6. Step 6: Final answer
    x = 274,256.71

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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.