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Finding the Fourth Proportional to 442,452.73, 663,679.47 and 189,569.24

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Solution

The fourth proportional to 442,452.73, 663,679.47 and 189,569.24 is: 284,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,452.73 : 663,679.47 = 189,569.24 : x
  2. Step 2: Convert to fraction form
    442,452.73/663,679.47 = 189,569.24/x
  3. Step 3: Cross multiply
    442,452.73x = 663,679.47 × 189,569.24
  4. Step 4: Simplify right side
    442,452.73x = 125,813,210,746.19
  5. Step 5: Solve for x
    x = 125,813,210,746.19/442,452.73
  6. Step 6: Final answer
    x = 284,354.02

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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.