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Finding the Fourth Proportional to 475,758.78, 713,638.17 and 160,189.26

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Solution

The fourth proportional to 475,758.78, 713,638.17 and 160,189.26 is: 240,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,758.78 : 713,638.17 = 160,189.26 : x
  2. Step 2: Convert to fraction form
    475,758.78/713,638.17 = 160,189.26/x
  3. Step 3: Cross multiply
    475,758.78x = 713,638.17 × 160,189.26
  4. Step 4: Simplify right side
    475,758.78x = 114,317,170,360.05
  5. Step 5: Solve for x
    x = 114,317,170,360.05/475,758.78
  6. Step 6: Final answer
    x = 240,283.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.