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Finding the Fourth Proportional to 551,863.30, 827,794.95 and 410,145.70

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Solution

The fourth proportional to 551,863.30, 827,794.95 and 410,145.70 is: 615,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,863.30 : 827,794.95 = 410,145.70 : x
  2. Step 2: Convert to fraction form
    551,863.30/827,794.95 = 410,145.70/x
  3. Step 3: Cross multiply
    551,863.30x = 827,794.95 × 410,145.70
  4. Step 4: Simplify right side
    551,863.30x = 339,516,539,224.22
  5. Step 5: Solve for x
    x = 339,516,539,224.22/551,863.30
  6. Step 6: Final answer
    x = 615,218.55

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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.