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Finding the Fourth Proportional to 813,980.34, 1,123,363.89 and 474,441.30

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Solution

The fourth proportional to 813,980.34, 1,123,363.89 and 474,441.30 is: 654,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,980.34 : 1,123,363.89 = 474,441.30 : x
  2. Step 2: Convert to fraction form
    813,980.34/1,123,363.89 = 474,441.30/x
  3. Step 3: Cross multiply
    813,980.34x = 1,123,363.89 × 474,441.30
  4. Step 4: Simplify right side
    813,980.34x = 532,970,224,344.66
  5. Step 5: Solve for x
    x = 532,970,224,344.66/813,980.34
  6. Step 6: Final answer
    x = 654,770.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.