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Finding the Fourth Proportional to 213,615.60, 320,423.40 and 204,514.80

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Solution

The fourth proportional to 213,615.60, 320,423.40 and 204,514.80 is: 306,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615.60 : 320,423.40 = 204,514.80 : x
  2. Step 2: Convert to fraction form
    213,615.60/320,423.40 = 204,514.80/x
  3. Step 3: Cross multiply
    213,615.60x = 320,423.40 × 204,514.80
  4. Step 4: Simplify right side
    213,615.60x = 65,531,327,566.32
  5. Step 5: Solve for x
    x = 65,531,327,566.32/213,615.60
  6. Step 6: Final answer
    x = 306,772.20

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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.