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Finding the Fourth Proportional to 596,274.62, 822,863.31 and 324,344.86

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Solution

The fourth proportional to 596,274.62, 822,863.31 and 324,344.86 is: 447,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,274.62 : 822,863.31 = 324,344.86 : x
  2. Step 2: Convert to fraction form
    596,274.62/822,863.31 = 324,344.86/x
  3. Step 3: Cross multiply
    596,274.62x = 822,863.31 × 324,344.86
  4. Step 4: Simplify right side
    596,274.62x = 266,891,481,807.64
  5. Step 5: Solve for x
    x = 266,891,481,807.64/596,274.62
  6. Step 6: Final answer
    x = 447,598.26

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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.