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Finding the Fourth Proportional to 456,304.57, 684,404.56 and 119,377.74

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Solution

The fourth proportional to 456,304.57, 684,404.56 and 119,377.74 is: 179,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,304.57 : 684,404.56 = 119,377.74 : x
  2. Step 2: Convert to fraction form
    456,304.57/684,404.56 = 119,377.74/x
  3. Step 3: Cross multiply
    456,304.57x = 684,404.56 × 119,377.74
  4. Step 4: Simplify right side
    456,304.57x = 81,702,669,618.49
  5. Step 5: Solve for x
    x = 81,702,669,618.49/456,304.57
  6. Step 6: Final answer
    x = 179,052.93

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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.