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Finding the Fourth Proportional to 377,109.41, 520,419.87 and 205,037.19

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Solution

The fourth proportional to 377,109.41, 520,419.87 and 205,037.19 is: 282,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,109.41 : 520,419.87 = 205,037.19 : x
  2. Step 2: Convert to fraction form
    377,109.41/520,419.87 = 205,037.19/x
  3. Step 3: Cross multiply
    377,109.41x = 520,419.87 × 205,037.19
  4. Step 4: Simplify right side
    377,109.41x = 106,705,427,764.97
  5. Step 5: Solve for x
    x = 106,705,427,764.97/377,109.41
  6. Step 6: Final answer
    x = 282,956.16

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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.