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Finding the Fourth Proportional to 650,230.20, 975,345.30 and 206,998.20

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Solution

The fourth proportional to 650,230.20, 975,345.30 and 206,998.20 is: 310,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,230.20 : 975,345.30 = 206,998.20 : x
  2. Step 2: Convert to fraction form
    650,230.20/975,345.30 = 206,998.20/x
  3. Step 3: Cross multiply
    650,230.20x = 975,345.30 × 206,998.20
  4. Step 4: Simplify right side
    650,230.20x = 201,894,721,478.46
  5. Step 5: Solve for x
    x = 201,894,721,478.46/650,230.20
  6. Step 6: Final answer
    x = 310,497.30

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Double scale
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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.