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Finding the Fourth Proportional to 377,651.86, 521,166.21 and 205,574.77

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Solution

The fourth proportional to 377,651.86, 521,166.21 and 205,574.77 is: 283,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,651.86 : 521,166.21 = 205,574.77 : x
  2. Step 2: Convert to fraction form
    377,651.86/521,166.21 = 205,574.77/x
  3. Step 3: Cross multiply
    377,651.86x = 521,166.21 × 205,574.77
  4. Step 4: Simplify right side
    377,651.86x = 107,138,623,752.52
  5. Step 5: Solve for x
    x = 107,138,623,752.52/377,651.86
  6. Step 6: Final answer
    x = 283,696.80

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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.