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Finding the Fourth Proportional to 442,757, 664,135.50 and 147,269

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Solution

The fourth proportional to 442,757, 664,135.50 and 147,269 is: 220,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,757 : 664,135.50 = 147,269 : x
  2. Step 2: Convert to fraction form
    442,757/664,135.50 = 147,269/x
  3. Step 3: Cross multiply
    442,757x = 664,135.50 × 147,269
  4. Step 4: Simplify right side
    442,757x = 97,806,570,949.50
  5. Step 5: Solve for x
    x = 97,806,570,949.50/442,757
  6. Step 6: Final answer
    x = 220,903.50

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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.