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Finding the Fourth Proportional to 410,815.20, 615,013.20 and 306,098.40

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Solution

The fourth proportional to 410,815.20, 615,013.20 and 306,098.40 is: 458,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,815.20 : 615,013.20 = 306,098.40 : x
  2. Step 2: Convert to fraction form
    410,815.20/615,013.20 = 306,098.40/x
  3. Step 3: Cross multiply
    410,815.20x = 615,013.20 × 306,098.40
  4. Step 4: Simplify right side
    410,815.20x = 188,254,556,498.88
  5. Step 5: Solve for x
    x = 188,254,556,498.88/410,815.20
  6. Step 6: Final answer
    x = 458,246.33

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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.