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Finding the Fourth Proportional to 568,718.94, 784,825.83 and 314,065.02

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Solution

The fourth proportional to 568,718.94, 784,825.83 and 314,065.02 is: 433,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,718.94 : 784,825.83 = 314,065.02 : x
  2. Step 2: Convert to fraction form
    568,718.94/784,825.83 = 314,065.02/x
  3. Step 3: Cross multiply
    568,718.94x = 784,825.83 × 314,065.02
  4. Step 4: Simplify right side
    568,718.94x = 246,486,339,995.47
  5. Step 5: Solve for x
    x = 246,486,339,995.47/568,718.94
  6. Step 6: Final answer
    x = 433,406.24

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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.