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Finding the Fourth Proportional to 721,954.84, 996,265.38 and 399,642.16

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Solution

The fourth proportional to 721,954.84, 996,265.38 and 399,642.16 is: 551,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,954.84 : 996,265.38 = 399,642.16 : x
  2. Step 2: Convert to fraction form
    721,954.84/996,265.38 = 399,642.16/x
  3. Step 3: Cross multiply
    721,954.84x = 996,265.38 × 399,642.16
  4. Step 4: Simplify right side
    721,954.84x = 398,149,648,396.42
  5. Step 5: Solve for x
    x = 398,149,648,396.42/721,954.84
  6. Step 6: Final answer
    x = 551,488.30

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Double scale
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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.