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Finding the Fourth Proportional to 456,304.77, 684,404.87 and 119,377.94

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Solution

The fourth proportional to 456,304.77, 684,404.87 and 119,377.94 is: 179,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,304.77 : 684,404.87 = 119,377.94 : x
  2. Step 2: Convert to fraction form
    456,304.77/684,404.87 = 119,377.94/x
  3. Step 3: Cross multiply
    456,304.77x = 684,404.87 × 119,377.94
  4. Step 4: Simplify right side
    456,304.77x = 81,702,843,506.57
  5. Step 5: Solve for x
    x = 81,702,843,506.57/456,304.77
  6. Step 6: Final answer
    x = 179,053.23

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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.