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Finding the Fourth Proportional to 521,375.86, 782,127.78 and 184,346.74

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Solution

The fourth proportional to 521,375.86, 782,127.78 and 184,346.74 is: 276,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,375.86 : 782,127.78 = 184,346.74 : x
  2. Step 2: Convert to fraction form
    521,375.86/782,127.78 = 184,346.74/x
  3. Step 3: Cross multiply
    521,375.86x = 782,127.78 × 184,346.74
  4. Step 4: Simplify right side
    521,375.86x = 144,182,706,506.44
  5. Step 5: Solve for x
    x = 144,182,706,506.44/521,375.86
  6. Step 6: Final answer
    x = 276,542.74

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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.