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Finding the Fourth Proportional to 521,922.60, 783,191.10 and 189,455.40

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Solution

The fourth proportional to 521,922.60, 783,191.10 and 189,455.40 is: 284,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,922.60 : 783,191.10 = 189,455.40 : x
  2. Step 2: Convert to fraction form
    521,922.60/783,191.10 = 189,455.40/x
  3. Step 3: Cross multiply
    521,922.60x = 783,191.10 × 189,455.40
  4. Step 4: Simplify right side
    521,922.60x = 148,379,783,126.94
  5. Step 5: Solve for x
    x = 148,379,783,126.94/521,922.60
  6. Step 6: Final answer
    x = 284,294.61

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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.