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Finding the Fourth Proportional to 474,302.80, 711,454.20 and 194,021.20

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Solution

The fourth proportional to 474,302.80, 711,454.20 and 194,021.20 is: 291,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,302.80 : 711,454.20 = 194,021.20 : x
  2. Step 2: Convert to fraction form
    474,302.80/711,454.20 = 194,021.20/x
  3. Step 3: Cross multiply
    474,302.80x = 711,454.20 × 194,021.20
  4. Step 4: Simplify right side
    474,302.80x = 138,037,197,629.04
  5. Step 5: Solve for x
    x = 138,037,197,629.04/474,302.80
  6. Step 6: Final answer
    x = 291,031.80

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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.