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Finding the Fourth Proportional to 377,815, 521,384.70 and 208,048.72

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Solution

The fourth proportional to 377,815, 521,384.70 and 208,048.72 is: 287,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,815 : 521,384.70 = 208,048.72 : x
  2. Step 2: Convert to fraction form
    377,815/521,384.70 = 208,048.72/x
  3. Step 3: Cross multiply
    377,815x = 521,384.70 × 208,048.72
  4. Step 4: Simplify right side
    377,815x = 108,473,419,462.58
  5. Step 5: Solve for x
    x = 108,473,419,462.58/377,815
  6. Step 6: Final answer
    x = 287,107.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.