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Finding the Fourth Proportional to 289,796.80, 434,824.80 and 102,942.40

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Solution

The fourth proportional to 289,796.80, 434,824.80 and 102,942.40 is: 154,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,796.80 : 434,824.80 = 102,942.40 : x
  2. Step 2: Convert to fraction form
    289,796.80/434,824.80 = 102,942.40/x
  3. Step 3: Cross multiply
    289,796.80x = 434,824.80 × 102,942.40
  4. Step 4: Simplify right side
    289,796.80x = 44,761,908,491.52
  5. Step 5: Solve for x
    x = 44,761,908,491.52/289,796.80
  6. Step 6: Final answer
    x = 154,459.64

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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.