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Finding the Fourth Proportional to 474,556.20, 712,007.10 and 194,274.60

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Solution

The fourth proportional to 474,556.20, 712,007.10 and 194,274.60 is: 291,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,556.20 : 712,007.10 = 194,274.60 : x
  2. Step 2: Convert to fraction form
    474,556.20/712,007.10 = 194,274.60/x
  3. Step 3: Cross multiply
    474,556.20x = 712,007.10 × 194,274.60
  4. Step 4: Simplify right side
    474,556.20x = 138,324,894,549.66
  5. Step 5: Solve for x
    x = 138,324,894,549.66/474,556.20
  6. Step 6: Final answer
    x = 291,482.64

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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.