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Finding the Fourth Proportional to 377,884.38, 521,504.02 and 208,118.46

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Solution

The fourth proportional to 377,884.38, 521,504.02 and 208,118.46 is: 287,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,884.38 : 521,504.02 = 208,118.46 : x
  2. Step 2: Convert to fraction form
    377,884.38/521,504.02 = 208,118.46/x
  3. Step 3: Cross multiply
    377,884.38x = 521,504.02 × 208,118.46
  4. Step 4: Simplify right side
    377,884.38x = 108,534,613,526.21
  5. Step 5: Solve for x
    x = 108,534,613,526.21/377,884.38
  6. Step 6: Final answer
    x = 287,216.46

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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.