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Finding the Fourth Proportional to 813,850.50, 1,220,775.76 and 315,214.50

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Solution

The fourth proportional to 813,850.50, 1,220,775.76 and 315,214.50 is: 472,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,850.50 : 1,220,775.76 = 315,214.50 : x
  2. Step 2: Convert to fraction form
    813,850.50/1,220,775.76 = 315,214.50/x
  3. Step 3: Cross multiply
    813,850.50x = 1,220,775.76 × 315,214.50
  4. Step 4: Simplify right side
    813,850.50x = 384,806,220,800.52
  5. Step 5: Solve for x
    x = 384,806,220,800.52/813,850.50
  6. Step 6: Final answer
    x = 472,821.75

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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.