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Finding the Fourth Proportional to 262,002.30, 393,003.45 and 209,514.30

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Solution

The fourth proportional to 262,002.30, 393,003.45 and 209,514.30 is: 314,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,002.30 : 393,003.45 = 209,514.30 : x
  2. Step 2: Convert to fraction form
    262,002.30/393,003.45 = 209,514.30/x
  3. Step 3: Cross multiply
    262,002.30x = 393,003.45 × 209,514.30
  4. Step 4: Simplify right side
    262,002.30x = 82,339,842,724.34
  5. Step 5: Solve for x
    x = 82,339,842,724.34/262,002.30
  6. Step 6: Final answer
    x = 314,271.45

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Similar ratio
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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.