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Finding the Fourth Proportional to 296,200.80, 444,301.20 and 146,464.20

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Solution

The fourth proportional to 296,200.80, 444,301.20 and 146,464.20 is: 219,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,200.80 : 444,301.20 = 146,464.20 : x
  2. Step 2: Convert to fraction form
    296,200.80/444,301.20 = 146,464.20/x
  3. Step 3: Cross multiply
    296,200.80x = 444,301.20 × 146,464.20
  4. Step 4: Simplify right side
    296,200.80x = 65,074,219,817.04
  5. Step 5: Solve for x
    x = 65,074,219,817.04/296,200.80
  6. Step 6: Final answer
    x = 219,696.30

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1.5x scale

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.