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Finding the Fourth Proportional to 289,872.40, 434,808.60 and 123,984.40

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Solution

The fourth proportional to 289,872.40, 434,808.60 and 123,984.40 is: 185,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,872.40 : 434,808.60 = 123,984.40 : x
  2. Step 2: Convert to fraction form
    289,872.40/434,808.60 = 123,984.40/x
  3. Step 3: Cross multiply
    289,872.40x = 434,808.60 × 123,984.40
  4. Step 4: Simplify right side
    289,872.40x = 53,909,483,385.84
  5. Step 5: Solve for x
    x = 53,909,483,385.84/289,872.40
  6. Step 6: Final answer
    x = 185,976.60

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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.