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Finding the Fourth Proportional to 456,304.28, 684,404.12 and 119,377.44

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Solution

The fourth proportional to 456,304.28, 684,404.12 and 119,377.44 is: 179,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,304.28 : 684,404.12 = 119,377.44 : x
  2. Step 2: Convert to fraction form
    456,304.28/684,404.12 = 119,377.44/x
  3. Step 3: Cross multiply
    456,304.28x = 684,404.12 × 119,377.44
  4. Step 4: Simplify right side
    456,304.28x = 81,702,411,771.05
  5. Step 5: Solve for x
    x = 81,702,411,771.05/456,304.28
  6. Step 6: Final answer
    x = 179,052.48

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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.