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Finding the Fourth Proportional to 322,452.76, 483,680.28 and 97,815.13

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Solution

The fourth proportional to 322,452.76, 483,680.28 and 97,815.13 is: 146,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,452.76 : 483,680.28 = 97,815.13 : x
  2. Step 2: Convert to fraction form
    322,452.76/483,680.28 = 97,815.13/x
  3. Step 3: Cross multiply
    322,452.76x = 483,680.28 × 97,815.13
  4. Step 4: Simplify right side
    322,452.76x = 47,311,249,466.64
  5. Step 5: Solve for x
    x = 47,311,249,466.64/322,452.76
  6. Step 6: Final answer
    x = 146,723.04

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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.