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Finding the Fourth Proportional to 455,786.29, 683,712.70 and 156,264.34

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Solution

The fourth proportional to 455,786.29, 683,712.70 and 156,264.34 is: 234,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,786.29 : 683,712.70 = 156,264.34 : x
  2. Step 2: Convert to fraction form
    455,786.29/683,712.70 = 156,264.34/x
  3. Step 3: Cross multiply
    455,786.29x = 683,712.70 × 156,264.34
  4. Step 4: Simplify right side
    455,786.29x = 106,839,912,997.14
  5. Step 5: Solve for x
    x = 106,839,912,997.14/455,786.29
  6. Step 6: Final answer
    x = 234,407.91

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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.