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Finding the Fourth Proportional to 812,709.50, 1,218,967.19 and 213,717.32

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Solution

The fourth proportional to 812,709.50, 1,218,967.19 and 213,717.32 is: 320,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,709.50 : 1,218,967.19 = 213,717.32 : x
  2. Step 2: Convert to fraction form
    812,709.50/1,218,967.19 = 213,717.32/x
  3. Step 3: Cross multiply
    812,709.50x = 1,218,967.19 × 213,717.32
  4. Step 4: Simplify right side
    812,709.50x = 260,514,393,851.31
  5. Step 5: Solve for x
    x = 260,514,393,851.31/812,709.50
  6. Step 6: Final answer
    x = 320,550.45

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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.