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Finding the Fourth Proportional to 478,123.56, 659,815.38 and 263,283.57

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Solution

The fourth proportional to 478,123.56, 659,815.38 and 263,283.57 is: 363,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,123.56 : 659,815.38 = 263,283.57 : x
  2. Step 2: Convert to fraction form
    478,123.56/659,815.38 = 263,283.57/x
  3. Step 3: Cross multiply
    478,123.56x = 659,815.38 × 263,283.57
  4. Step 4: Simplify right side
    478,123.56x = 173,718,548,787.31
  5. Step 5: Solve for x
    x = 173,718,548,787.31/478,123.56
  6. Step 6: Final answer
    x = 363,334.01

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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.