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Finding the Fourth Proportional to 289,040.40, 433,560.60 and 75,807.90

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Solution

The fourth proportional to 289,040.40, 433,560.60 and 75,807.90 is: 113,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040.40 : 433,560.60 = 75,807.90 : x
  2. Step 2: Convert to fraction form
    289,040.40/433,560.60 = 75,807.90/x
  3. Step 3: Cross multiply
    289,040.40x = 433,560.60 × 75,807.90
  4. Step 4: Simplify right side
    289,040.40x = 32,867,318,608.74
  5. Step 5: Solve for x
    x = 32,867,318,608.74/289,040.40
  6. Step 6: Final answer
    x = 113,711.85

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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.