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Finding the Fourth Proportional to 471,124.17, 650,100.78 and 277,516.71

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Solution

The fourth proportional to 471,124.17, 650,100.78 and 277,516.71 is: 382,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,124.17 : 650,100.78 = 277,516.71 : x
  2. Step 2: Convert to fraction form
    471,124.17/650,100.78 = 277,516.71/x
  3. Step 3: Cross multiply
    471,124.17x = 650,100.78 × 277,516.71
  4. Step 4: Simplify right side
    471,124.17x = 180,413,829,634.03
  5. Step 5: Solve for x
    x = 180,413,829,634.03/471,124.17
  6. Step 6: Final answer
    x = 382,943.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.