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Finding the Fourth Proportional to 415,857.84, 573,887.25 and 229,595.30

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Solution

The fourth proportional to 415,857.84, 573,887.25 and 229,595.30 is: 316,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,857.84 : 573,887.25 = 229,595.30 : x
  2. Step 2: Convert to fraction form
    415,857.84/573,887.25 = 229,595.30/x
  3. Step 3: Cross multiply
    415,857.84x = 573,887.25 × 229,595.30
  4. Step 4: Simplify right side
    415,857.84x = 131,761,815,329.93
  5. Step 5: Solve for x
    x = 131,761,815,329.93/415,857.84
  6. Step 6: Final answer
    x = 316,843.41

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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.