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Finding the Fourth Proportional to 410,196.65, 615,292.24 and 220,746.16

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Solution

The fourth proportional to 410,196.65, 615,292.24 and 220,746.16 is: 331,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,196.65 : 615,292.24 = 220,746.16 : x
  2. Step 2: Convert to fraction form
    410,196.65/615,292.24 = 220,746.16/x
  3. Step 3: Cross multiply
    410,196.65x = 615,292.24 × 220,746.16
  4. Step 4: Simplify right side
    410,196.65x = 135,823,396,181.34
  5. Step 5: Solve for x
    x = 135,823,396,181.34/410,196.65
  6. Step 6: Final answer
    x = 331,117.76

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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.