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Finding the Fourth Proportional to 304,967.60, 457,451.40 and 83,351.60

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Solution

The fourth proportional to 304,967.60, 457,451.40 and 83,351.60 is: 125,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,967.60 : 457,451.40 = 83,351.60 : x
  2. Step 2: Convert to fraction form
    304,967.60/457,451.40 = 83,351.60/x
  3. Step 3: Cross multiply
    304,967.60x = 457,451.40 × 83,351.60
  4. Step 4: Simplify right side
    304,967.60x = 38,129,306,112.24
  5. Step 5: Solve for x
    x = 38,129,306,112.24/304,967.60
  6. Step 6: Final answer
    x = 125,027.40

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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.