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Finding the Fourth Proportional to 721,822, 996,010.10 and 399,531.32

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Solution

The fourth proportional to 721,822, 996,010.10 and 399,531.32 is: 551,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,822 : 996,010.10 = 399,531.32 : x
  2. Step 2: Convert to fraction form
    721,822/996,010.10 = 399,531.32/x
  3. Step 3: Cross multiply
    721,822x = 996,010.10 × 399,531.32
  4. Step 4: Simplify right side
    721,822x = 397,937,229,986.33
  5. Step 5: Solve for x
    x = 397,937,229,986.33/721,822
  6. Step 6: Final answer
    x = 551,295.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.