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Finding the Fourth Proportional to 304,503.20, 456,098.70 and 252,015.20

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Solution

The fourth proportional to 304,503.20, 456,098.70 and 252,015.20 is: 377,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,503.20 : 456,098.70 = 252,015.20 : x
  2. Step 2: Convert to fraction form
    304,503.20/456,098.70 = 252,015.20/x
  3. Step 3: Cross multiply
    304,503.20x = 456,098.70 × 252,015.20
  4. Step 4: Simplify right side
    304,503.20x = 114,943,805,100.24
  5. Step 5: Solve for x
    x = 114,943,805,100.24/304,503.20
  6. Step 6: Final answer
    x = 377,479.79

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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.