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Finding the Fourth Proportional to 377,783.97, 566,717.47 and 188,292.04

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Solution

The fourth proportional to 377,783.97, 566,717.47 and 188,292.04 is: 282,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,783.97 : 566,717.47 = 188,292.04 : x
  2. Step 2: Convert to fraction form
    377,783.97/566,717.47 = 188,292.04/x
  3. Step 3: Cross multiply
    377,783.97x = 566,717.47 × 188,292.04
  4. Step 4: Simplify right side
    377,783.97x = 106,708,384,754.89
  5. Step 5: Solve for x
    x = 106,708,384,754.89/377,783.97
  6. Step 6: Final answer
    x = 282,458.75

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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.