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Finding the Fourth Proportional to 314,851.20, 472,276.80 and 301,729.20

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Solution

The fourth proportional to 314,851.20, 472,276.80 and 301,729.20 is: 452,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,851.20 : 472,276.80 = 301,729.20 : x
  2. Step 2: Convert to fraction form
    314,851.20/472,276.80 = 301,729.20/x
  3. Step 3: Cross multiply
    314,851.20x = 472,276.80 × 301,729.20
  4. Step 4: Simplify right side
    314,851.20x = 142,499,701,042.56
  5. Step 5: Solve for x
    x = 142,499,701,042.56/314,851.20
  6. Step 6: Final answer
    x = 452,593.80

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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.