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Finding the Fourth Proportional to 410,147.10, 615,220.65 and 230,047.65

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Solution

The fourth proportional to 410,147.10, 615,220.65 and 230,047.65 is: 345,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.10 : 615,220.65 = 230,047.65 : x
  2. Step 2: Convert to fraction form
    410,147.10/615,220.65 = 230,047.65/x
  3. Step 3: Cross multiply
    410,147.10x = 615,220.65 × 230,047.65
  4. Step 4: Simplify right side
    410,147.10x = 141,530,064,763.97
  5. Step 5: Solve for x
    x = 141,530,064,763.97/410,147.10
  6. Step 6: Final answer
    x = 345,071.48

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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.