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Finding the Fourth Proportional to 410,488, 615,575.06 and 197,195.14

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Solution

The fourth proportional to 410,488, 615,575.06 and 197,195.14 is: 295,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,488 : 615,575.06 = 197,195.14 : x
  2. Step 2: Convert to fraction form
    410,488/615,575.06 = 197,195.14/x
  3. Step 3: Cross multiply
    410,488x = 615,575.06 × 197,195.14
  4. Step 4: Simplify right side
    410,488x = 121,388,410,137.21
  5. Step 5: Solve for x
    x = 121,388,410,137.21/410,488
  6. Step 6: Final answer
    x = 295,717.32

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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.