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Finding the Fourth Proportional to 304,246.80, 456,649.20 and 154,591.20

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Solution

The fourth proportional to 304,246.80, 456,649.20 and 154,591.20 is: 232,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,246.80 : 456,649.20 = 154,591.20 : x
  2. Step 2: Convert to fraction form
    304,246.80/456,649.20 = 154,591.20/x
  3. Step 3: Cross multiply
    304,246.80x = 456,649.20 × 154,591.20
  4. Step 4: Simplify right side
    304,246.80x = 70,593,947,807.04
  5. Step 5: Solve for x
    x = 70,593,947,807.04/304,246.80
  6. Step 6: Final answer
    x = 232,028.56

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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.