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Finding the Fourth Proportional to 295,275.20, 442,912.80 and 98,283.20

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Solution

The fourth proportional to 295,275.20, 442,912.80 and 98,283.20 is: 147,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,275.20 : 442,912.80 = 98,283.20 : x
  2. Step 2: Convert to fraction form
    295,275.20/442,912.80 = 98,283.20/x
  3. Step 3: Cross multiply
    295,275.20x = 442,912.80 × 98,283.20
  4. Step 4: Simplify right side
    295,275.20x = 43,530,887,304.96
  5. Step 5: Solve for x
    x = 43,530,887,304.96/295,275.20
  6. Step 6: Final answer
    x = 147,424.80

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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.