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Finding the Fourth Proportional to 296,201.40, 444,302.10 and 170,230.20

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Solution

The fourth proportional to 296,201.40, 444,302.10 and 170,230.20 is: 255,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,201.40 : 444,302.10 = 170,230.20 : x
  2. Step 2: Convert to fraction form
    296,201.40/444,302.10 = 170,230.20/x
  3. Step 3: Cross multiply
    296,201.40x = 444,302.10 × 170,230.20
  4. Step 4: Simplify right side
    296,201.40x = 75,633,635,343.42
  5. Step 5: Solve for x
    x = 75,633,635,343.42/296,201.40
  6. Step 6: Final answer
    x = 255,345.30

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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.