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Finding the Fourth Proportional to 289,450.40, 434,252.40 and 102,442.40

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Solution

The fourth proportional to 289,450.40, 434,252.40 and 102,442.40 is: 153,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,450.40 : 434,252.40 = 102,442.40 : x
  2. Step 2: Convert to fraction form
    289,450.40/434,252.40 = 102,442.40/x
  3. Step 3: Cross multiply
    289,450.40x = 434,252.40 × 102,442.40
  4. Step 4: Simplify right side
    289,450.40x = 44,485,858,061.76
  5. Step 5: Solve for x
    x = 44,485,858,061.76/289,450.40
  6. Step 6: Final answer
    x = 153,690.78

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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.