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Finding the Fourth Proportional to 289,626.40, 434,516.40 and 102,618.40

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Solution

The fourth proportional to 289,626.40, 434,516.40 and 102,618.40 is: 153,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,626.40 : 434,516.40 = 102,618.40 : x
  2. Step 2: Convert to fraction form
    289,626.40/434,516.40 = 102,618.40/x
  3. Step 3: Cross multiply
    289,626.40x = 434,516.40 × 102,618.40
  4. Step 4: Simplify right side
    289,626.40x = 44,589,377,741.76
  5. Step 5: Solve for x
    x = 44,589,377,741.76/289,626.40
  6. Step 6: Final answer
    x = 153,954.81

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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.