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Finding the Fourth Proportional to 640,254.95, 960,456.24 and 213,847.36

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Solution

The fourth proportional to 640,254.95, 960,456.24 and 213,847.36 is: 320,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,254.95 : 960,456.24 = 213,847.36 : x
  2. Step 2: Convert to fraction form
    640,254.95/960,456.24 = 213,847.36/x
  3. Step 3: Cross multiply
    640,254.95x = 960,456.24 × 213,847.36
  4. Step 4: Simplify right side
    640,254.95x = 205,391,025,448.01
  5. Step 5: Solve for x
    x = 205,391,025,448.01/640,254.95
  6. Step 6: Final answer
    x = 320,795.69

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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.