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Finding the Fourth Proportional to 310,851.20, 466,507.20 and 227,907.20

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Solution

The fourth proportional to 310,851.20, 466,507.20 and 227,907.20 is: 342,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851.20 : 466,507.20 = 227,907.20 : x
  2. Step 2: Convert to fraction form
    310,851.20/466,507.20 = 227,907.20/x
  3. Step 3: Cross multiply
    310,851.20x = 466,507.20 × 227,907.20
  4. Step 4: Simplify right side
    310,851.20x = 106,320,349,731.84
  5. Step 5: Solve for x
    x = 106,320,349,731.84/310,851.20
  6. Step 6: Final answer
    x = 342,029.72

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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.