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Finding the Fourth Proportional to 377,620.48, 566,264.53 and 200,086.57

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Solution

The fourth proportional to 377,620.48, 566,264.53 and 200,086.57 is: 300,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,620.48 : 566,264.53 = 200,086.57 : x
  2. Step 2: Convert to fraction form
    377,620.48/566,264.53 = 200,086.57/x
  3. Step 3: Cross multiply
    377,620.48x = 566,264.53 × 200,086.57
  4. Step 4: Simplify right side
    377,620.48x = 113,301,927,520.36
  5. Step 5: Solve for x
    x = 113,301,927,520.36/377,620.48
  6. Step 6: Final answer
    x = 300,041.80

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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.