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Finding the Fourth Proportional to 568,307.14, 784,262.24 and 313,656.50

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Solution

The fourth proportional to 568,307.14, 784,262.24 and 313,656.50 is: 432,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,307.14 : 784,262.24 = 313,656.50 : x
  2. Step 2: Convert to fraction form
    568,307.14/784,262.24 = 313,656.50/x
  3. Step 3: Cross multiply
    568,307.14x = 784,262.24 × 313,656.50
  4. Step 4: Simplify right side
    568,307.14x = 245,988,949,280.56
  5. Step 5: Solve for x
    x = 245,988,949,280.56/568,307.14
  6. Step 6: Final answer
    x = 432,845.08

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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.