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Finding the Fourth Proportional to 312,594.66, 468,885.51 and 75,938.58

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Solution

The fourth proportional to 312,594.66, 468,885.51 and 75,938.58 is: 113,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,594.66 : 468,885.51 = 75,938.58 : x
  2. Step 2: Convert to fraction form
    312,594.66/468,885.51 = 75,938.58/x
  3. Step 3: Cross multiply
    312,594.66x = 468,885.51 × 75,938.58
  4. Step 4: Simplify right side
    312,594.66x = 35,606,499,811.98
  5. Step 5: Solve for x
    x = 35,606,499,811.98/312,594.66
  6. Step 6: Final answer
    x = 113,906.30

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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.