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Finding the Fourth Proportional to 455,393.84, 683,101.71 and 155,872.44

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Solution

The fourth proportional to 455,393.84, 683,101.71 and 155,872.44 is: 233,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,393.84 : 683,101.71 = 155,872.44 : x
  2. Step 2: Convert to fraction form
    455,393.84/683,101.71 = 155,872.44/x
  3. Step 3: Cross multiply
    455,393.84x = 683,101.71 × 155,872.44
  4. Step 4: Simplify right side
    455,393.84x = 106,476,730,305.87
  5. Step 5: Solve for x
    x = 106,476,730,305.87/455,393.84
  6. Step 6: Final answer
    x = 233,812.41

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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.