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Finding the Fourth Proportional to 226,411.20, 339,616.80 and 194,918.40

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Solution

The fourth proportional to 226,411.20, 339,616.80 and 194,918.40 is: 292,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,411.20 : 339,616.80 = 194,918.40 : x
  2. Step 2: Convert to fraction form
    226,411.20/339,616.80 = 194,918.40/x
  3. Step 3: Cross multiply
    226,411.20x = 339,616.80 × 194,918.40
  4. Step 4: Simplify right side
    226,411.20x = 66,197,563,269.12
  5. Step 5: Solve for x
    x = 66,197,563,269.12/226,411.20
  6. Step 6: Final answer
    x = 292,377.60

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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.