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Finding the Fourth Proportional to 299,432.80, 448,846.80 and 149,442.40

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Solution

The fourth proportional to 299,432.80, 448,846.80 and 149,442.40 is: 224,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.80 : 448,846.80 = 149,442.40 : x
  2. Step 2: Convert to fraction form
    299,432.80/448,846.80 = 149,442.40/x
  3. Step 3: Cross multiply
    299,432.80x = 448,846.80 × 149,442.40
  4. Step 4: Simplify right side
    299,432.80x = 67,076,743,024.32
  5. Step 5: Solve for x
    x = 67,076,743,024.32/299,432.80
  6. Step 6: Final answer
    x = 224,012.68

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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.