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Finding the Fourth Proportional to 633,345.96, 949,781.02 and 206,782.12

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Solution

The fourth proportional to 633,345.96, 949,781.02 and 206,782.12 is: 310,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,345.96 : 949,781.02 = 206,782.12 : x
  2. Step 2: Convert to fraction form
    633,345.96/949,781.02 = 206,782.12/x
  3. Step 3: Cross multiply
    633,345.96x = 949,781.02 × 206,782.12
  4. Step 4: Simplify right side
    633,345.96x = 196,397,732,851.36
  5. Step 5: Solve for x
    x = 196,397,732,851.36/633,345.96
  6. Step 6: Final answer
    x = 310,095.50

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Why These Related Problems?

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