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Finding the Fourth Proportional to 633,829, 950,745.12 and 160,514.40

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Solution

The fourth proportional to 633,829, 950,745.12 and 160,514.40 is: 240,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,829 : 950,745.12 = 160,514.40 : x
  2. Step 2: Convert to fraction form
    633,829/950,745.12 = 160,514.40/x
  3. Step 3: Cross multiply
    633,829x = 950,745.12 × 160,514.40
  4. Step 4: Simplify right side
    633,829x = 152,608,282,489.73
  5. Step 5: Solve for x
    x = 152,608,282,489.73/633,829
  6. Step 6: Final answer
    x = 240,772.01

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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.