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Finding the Fourth Proportional to 519,314.70, 778,899.15 and 164,364.60

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Solution

The fourth proportional to 519,314.70, 778,899.15 and 164,364.60 is: 246,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,314.70 : 778,899.15 = 164,364.60 : x
  2. Step 2: Convert to fraction form
    519,314.70/778,899.15 = 164,364.60/x
  3. Step 3: Cross multiply
    519,314.70x = 778,899.15 × 164,364.60
  4. Step 4: Simplify right side
    519,314.70x = 128,023,447,230.09
  5. Step 5: Solve for x
    x = 128,023,447,230.09/519,314.70
  6. Step 6: Final answer
    x = 246,523.83

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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.