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Finding the Fourth Proportional to 299,139.40, 449,000.70 and 149,548.60

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Solution

The fourth proportional to 299,139.40, 449,000.70 and 149,548.60 is: 224,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.40 : 449,000.70 = 149,548.60 : x
  2. Step 2: Convert to fraction form
    299,139.40/449,000.70 = 149,548.60/x
  3. Step 3: Cross multiply
    299,139.40x = 449,000.70 × 149,548.60
  4. Step 4: Simplify right side
    299,139.40x = 67,147,426,084.02
  5. Step 5: Solve for x
    x = 67,147,426,084.02/299,139.40
  6. Step 6: Final answer
    x = 224,468.68

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1.5x scale

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.