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Finding the Fourth Proportional to 304,680.20, 457,015.36 and 83,064.20

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Solution

The fourth proportional to 304,680.20, 457,015.36 and 83,064.20 is: 124,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,680.20 : 457,015.36 = 83,064.20 : x
  2. Step 2: Convert to fraction form
    304,680.20/457,015.36 = 83,064.20/x
  3. Step 3: Cross multiply
    304,680.20x = 457,015.36 × 83,064.20
  4. Step 4: Simplify right side
    304,680.20x = 37,961,615,266.11
  5. Step 5: Solve for x
    x = 37,961,615,266.11/304,680.20
  6. Step 6: Final answer
    x = 124,594.95

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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.