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Finding the Fourth Proportional to 377,929.96, 521,566.98 and 208,164.04

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Solution

The fourth proportional to 377,929.96, 521,566.98 and 208,164.04 is: 287,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,929.96 : 521,566.98 = 208,164.04 : x
  2. Step 2: Convert to fraction form
    377,929.96/521,566.98 = 208,164.04/x
  3. Step 3: Cross multiply
    377,929.96x = 521,566.98 × 208,164.04
  4. Step 4: Simplify right side
    377,929.96x = 108,571,489,687.40
  5. Step 5: Solve for x
    x = 108,571,489,687.40/377,929.96
  6. Step 6: Final answer
    x = 287,279.39

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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.