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Finding the Fourth Proportional to 288,928.95, 433,414.26 and 89,223.50

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Solution

The fourth proportional to 288,928.95, 433,414.26 and 89,223.50 is: 133,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,928.95 : 433,414.26 = 89,223.50 : x
  2. Step 2: Convert to fraction form
    288,928.95/433,414.26 = 89,223.50/x
  3. Step 3: Cross multiply
    288,928.95x = 433,414.26 × 89,223.50
  4. Step 4: Simplify right side
    288,928.95x = 38,670,735,060.04
  5. Step 5: Solve for x
    x = 38,670,735,060.04/288,928.95
  6. Step 6: Final answer
    x = 133,841.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.