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Finding the Fourth Proportional to 377,107.83, 565,661.74 and 265,288.40

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Solution

The fourth proportional to 377,107.83, 565,661.74 and 265,288.40 is: 397,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,107.83 : 565,661.74 = 265,288.40 : x
  2. Step 2: Convert to fraction form
    377,107.83/565,661.74 = 265,288.40/x
  3. Step 3: Cross multiply
    377,107.83x = 565,661.74 × 265,288.40
  4. Step 4: Simplify right side
    377,107.83x = 150,063,496,252.80
  5. Step 5: Solve for x
    x = 150,063,496,252.80/377,107.83
  6. Step 6: Final answer
    x = 397,932.59

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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.