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Finding the Fourth Proportional to 377,880.38, 521,498.50 and 208,114.46

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Solution

The fourth proportional to 377,880.38, 521,498.50 and 208,114.46 is: 287,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,880.38 : 521,498.50 = 208,114.46 : x
  2. Step 2: Convert to fraction form
    377,880.38/521,498.50 = 208,114.46/x
  3. Step 3: Cross multiply
    377,880.38x = 521,498.50 × 208,114.46
  4. Step 4: Simplify right side
    377,880.38x = 108,531,378,718.31
  5. Step 5: Solve for x
    x = 108,531,378,718.31/377,880.38
  6. Step 6: Final answer
    x = 287,210.94

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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.