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Finding the Fourth Proportional to 377,658.09, 521,174.79 and 205,581

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Solution

The fourth proportional to 377,658.09, 521,174.79 and 205,581 is: 283,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,658.09 : 521,174.79 = 205,581 : x
  2. Step 2: Convert to fraction form
    377,658.09/521,174.79 = 205,581/x
  3. Step 3: Cross multiply
    377,658.09x = 521,174.79 × 205,581
  4. Step 4: Simplify right side
    377,658.09x = 107,143,634,502.99
  5. Step 5: Solve for x
    x = 107,143,634,502.99/377,658.09
  6. Step 6: Final answer
    x = 283,705.39

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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.