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Finding the Fourth Proportional to 289,908.10, 434,862.15 and 195,429.70

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Solution

The fourth proportional to 289,908.10, 434,862.15 and 195,429.70 is: 293,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,908.10 : 434,862.15 = 195,429.70 : x
  2. Step 2: Convert to fraction form
    289,908.10/434,862.15 = 195,429.70/x
  3. Step 3: Cross multiply
    289,908.10x = 434,862.15 × 195,429.70
  4. Step 4: Simplify right side
    289,908.10x = 84,984,979,515.86
  5. Step 5: Solve for x
    x = 84,984,979,515.86/289,908.10
  6. Step 6: Final answer
    x = 293,144.55

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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.