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Finding the Fourth Proportional to 519,419.34, 780,377.58 and 490,743.72

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Solution

The fourth proportional to 519,419.34, 780,377.58 and 490,743.72 is: 737,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,419.34 : 780,377.58 = 490,743.72 : x
  2. Step 2: Convert to fraction form
    519,419.34/780,377.58 = 490,743.72/x
  3. Step 3: Cross multiply
    519,419.34x = 780,377.58 × 490,743.72
  4. Step 4: Simplify right side
    519,419.34x = 382,965,396,613.80
  5. Step 5: Solve for x
    x = 382,965,396,613.80/519,419.34
  6. Step 6: Final answer
    x = 737,295.22

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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.