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Finding the Fourth Proportional to 521,921.60, 783,189.60 and 189,454.40

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Solution

The fourth proportional to 521,921.60, 783,189.60 and 189,454.40 is: 284,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,921.60 : 783,189.60 = 189,454.40 : x
  2. Step 2: Convert to fraction form
    521,921.60/783,189.60 = 189,454.40/x
  3. Step 3: Cross multiply
    521,921.60x = 783,189.60 × 189,454.40
  4. Step 4: Simplify right side
    521,921.60x = 148,378,715,754.24
  5. Step 5: Solve for x
    x = 148,378,715,754.24/521,921.60
  6. Step 6: Final answer
    x = 284,293.11

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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.