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Finding the Fourth Proportional to 568,314.94, 784,270.74 and 313,666.15

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Solution

The fourth proportional to 568,314.94, 784,270.74 and 313,666.15 is: 432,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,314.94 : 784,270.74 = 313,666.15 : x
  2. Step 2: Convert to fraction form
    568,314.94/784,270.74 = 313,666.15/x
  3. Step 3: Cross multiply
    568,314.94x = 784,270.74 × 313,666.15
  4. Step 4: Simplify right side
    568,314.94x = 245,999,183,573.45
  5. Step 5: Solve for x
    x = 245,999,183,573.45/568,314.94
  6. Step 6: Final answer
    x = 432,857.15

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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.