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Finding the Fourth Proportional to 289,505.95, 434,736.42 and 195,341.02

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Solution

The fourth proportional to 289,505.95, 434,736.42 and 195,341.02 is: 293,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,505.95 : 434,736.42 = 195,341.02 : x
  2. Step 2: Convert to fraction form
    289,505.95/434,736.42 = 195,341.02/x
  3. Step 3: Cross multiply
    289,505.95x = 434,736.42 × 195,341.02
  4. Step 4: Simplify right side
    289,505.95x = 84,921,855,713.95
  5. Step 5: Solve for x
    x = 84,921,855,713.95/289,505.95
  6. Step 6: Final answer
    x = 293,333.71

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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.