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Finding the Fourth Proportional to 434,711.28, 652,069.17 and 197,888.34

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Solution

The fourth proportional to 434,711.28, 652,069.17 and 197,888.34 is: 296,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,711.28 : 652,069.17 = 197,888.34 : x
  2. Step 2: Convert to fraction form
    434,711.28/652,069.17 = 197,888.34/x
  3. Step 3: Cross multiply
    434,711.28x = 652,069.17 × 197,888.34
  4. Step 4: Simplify right side
    434,711.28x = 129,036,885,616.48
  5. Step 5: Solve for x
    x = 129,036,885,616.48/434,711.28
  6. Step 6: Final answer
    x = 296,833.53

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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.