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Finding the Fourth Proportional to 410,568.48, 615,026.86 and 204,782.72

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Solution

The fourth proportional to 410,568.48, 615,026.86 and 204,782.72 is: 306,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,568.48 : 615,026.86 = 204,782.72 : x
  2. Step 2: Convert to fraction form
    410,568.48/615,026.86 = 204,782.72/x
  3. Step 3: Cross multiply
    410,568.48x = 615,026.86 × 204,782.72
  4. Step 4: Simplify right side
    410,568.48x = 125,946,869,676.77
  5. Step 5: Solve for x
    x = 125,946,869,676.77/410,568.48
  6. Step 6: Final answer
    x = 306,762.15

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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.