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Finding the Fourth Proportional to 510,902.20, 766,353.30 and 289,718.20

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Solution

The fourth proportional to 510,902.20, 766,353.30 and 289,718.20 is: 434,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,902.20 : 766,353.30 = 289,718.20 : x
  2. Step 2: Convert to fraction form
    510,902.20/766,353.30 = 289,718.20/x
  3. Step 3: Cross multiply
    510,902.20x = 766,353.30 × 289,718.20
  4. Step 4: Simplify right side
    510,902.20x = 222,026,498,640.06
  5. Step 5: Solve for x
    x = 222,026,498,640.06/510,902.20
  6. Step 6: Final answer
    x = 434,577.30

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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.