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Finding the Fourth Proportional to 519,346.14, 777,500.72 and 469,540.86

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Solution

The fourth proportional to 519,346.14, 777,500.72 and 469,540.86 is: 702,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,346.14 : 777,500.72 = 469,540.86 : x
  2. Step 2: Convert to fraction form
    519,346.14/777,500.72 = 469,540.86/x
  3. Step 3: Cross multiply
    519,346.14x = 777,500.72 × 469,540.86
  4. Step 4: Simplify right side
    519,346.14x = 365,068,356,719.42
  5. Step 5: Solve for x
    x = 365,068,356,719.42/519,346.14
  6. Step 6: Final answer
    x = 702,938.42

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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.