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Finding the Fourth Proportional to 299,436.21, 413,182.76 and 178,591.68

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Solution

The fourth proportional to 299,436.21, 413,182.76 and 178,591.68 is: 246,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.21 : 413,182.76 = 178,591.68 : x
  2. Step 2: Convert to fraction form
    299,436.21/413,182.76 = 178,591.68/x
  3. Step 3: Cross multiply
    299,436.21x = 413,182.76 × 178,591.68
  4. Step 4: Simplify right side
    299,436.21x = 73,791,002,362.48
  5. Step 5: Solve for x
    x = 73,791,002,362.48/299,436.21
  6. Step 6: Final answer
    x = 246,433.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.