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Finding the Fourth Proportional to 452,596, 678,894 and 157,108

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Solution

The fourth proportional to 452,596, 678,894 and 157,108 is: 235,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,596 : 678,894 = 157,108 : x
  2. Step 2: Convert to fraction form
    452,596/678,894 = 157,108/x
  3. Step 3: Cross multiply
    452,596x = 678,894 × 157,108
  4. Step 4: Simplify right side
    452,596x = 106,659,678,552
  5. Step 5: Solve for x
    x = 106,659,678,552/452,596
  6. Step 6: Final answer
    x = 235,662

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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.