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Finding the Fourth Proportional to 289,807.70, 434,128.35 and 195,329.30

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Solution

The fourth proportional to 289,807.70, 434,128.35 and 195,329.30 is: 292,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,807.70 : 434,128.35 = 195,329.30 : x
  2. Step 2: Convert to fraction form
    289,807.70/434,128.35 = 195,329.30/x
  3. Step 3: Cross multiply
    289,807.70x = 434,128.35 × 195,329.30
  4. Step 4: Simplify right side
    289,807.70x = 84,797,986,715.66
  5. Step 5: Solve for x
    x = 84,797,986,715.66/289,807.70
  6. Step 6: Final answer
    x = 292,600.88

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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.