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Finding the Fourth Proportional to 568,712.94, 784,817.55 and 314,059.02

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Solution

The fourth proportional to 568,712.94, 784,817.55 and 314,059.02 is: 433,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,712.94 : 784,817.55 = 314,059.02 : x
  2. Step 2: Convert to fraction form
    568,712.94/784,817.55 = 314,059.02/x
  3. Step 3: Cross multiply
    568,712.94x = 784,817.55 × 314,059.02
  4. Step 4: Simplify right side
    568,712.94x = 246,479,030,631.80
  5. Step 5: Solve for x
    x = 246,479,030,631.80/568,712.94
  6. Step 6: Final answer
    x = 433,397.96

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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.