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Finding the Fourth Proportional to 615,436.80, 923,284.80 and 194,755.20

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Solution

The fourth proportional to 615,436.80, 923,284.80 and 194,755.20 is: 292,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,436.80 : 923,284.80 = 194,755.20 : x
  2. Step 2: Convert to fraction form
    615,436.80/923,284.80 = 194,755.20/x
  3. Step 3: Cross multiply
    615,436.80x = 923,284.80 × 194,755.20
  4. Step 4: Simplify right side
    615,436.80x = 179,814,515,880.96
  5. Step 5: Solve for x
    x = 179,814,515,880.96/615,436.80
  6. Step 6: Final answer
    x = 292,173.81

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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.