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Finding the Fourth Proportional to 273,603.60, 410,535.28 and 189,493.20

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Solution

The fourth proportional to 273,603.60, 410,535.28 and 189,493.20 is: 284,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,603.60 : 410,535.28 = 189,493.20 : x
  2. Step 2: Convert to fraction form
    273,603.60/410,535.28 = 189,493.20/x
  3. Step 3: Cross multiply
    273,603.60x = 410,535.28 × 189,493.20
  4. Step 4: Simplify right side
    273,603.60x = 77,793,643,920.10
  5. Step 5: Solve for x
    x = 77,793,643,920.10/273,603.60
  6. Step 6: Final answer
    x = 284,329.75

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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.