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Finding the Fourth Proportional to 821,863.84, 1,134,168.80 and 459,287.68

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Solution

The fourth proportional to 821,863.84, 1,134,168.80 and 459,287.68 is: 633,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,863.84 : 1,134,168.80 = 459,287.68 : x
  2. Step 2: Convert to fraction form
    821,863.84/1,134,168.80 = 459,287.68/x
  3. Step 3: Cross multiply
    821,863.84x = 1,134,168.80 × 459,287.68
  4. Step 4: Simplify right side
    821,863.84x = 520,909,756,880.38
  5. Step 5: Solve for x
    x = 520,909,756,880.38/821,863.84
  6. Step 6: Final answer
    x = 633,815.15

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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.