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Finding the Fourth Proportional to 522,934.29, 784,733.22 and 223,417.13

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Solution

The fourth proportional to 522,934.29, 784,733.22 and 223,417.13 is: 335,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,934.29 : 784,733.22 = 223,417.13 : x
  2. Step 2: Convert to fraction form
    522,934.29/784,733.22 = 223,417.13/x
  3. Step 3: Cross multiply
    522,934.29x = 784,733.22 × 223,417.13
  4. Step 4: Simplify right side
    522,934.29x = 175,322,839,904.39
  5. Step 5: Solve for x
    x = 175,322,839,904.39/522,934.29
  6. Step 6: Final answer
    x = 335,267.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.