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Finding the Fourth Proportional to 377,100.97, 565,650.07 and 152,458.71

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Solution

The fourth proportional to 377,100.97, 565,650.07 and 152,458.71 is: 228,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,100.97 : 565,650.07 = 152,458.71 : x
  2. Step 2: Convert to fraction form
    377,100.97/565,650.07 = 152,458.71/x
  3. Step 3: Cross multiply
    377,100.97x = 565,650.07 × 152,458.71
  4. Step 4: Simplify right side
    377,100.97x = 86,238,277,481.28
  5. Step 5: Solve for x
    x = 86,238,277,481.28/377,100.97
  6. Step 6: Final answer
    x = 228,687.50

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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.