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Finding the Fourth Proportional to 567,224.94, 850,322.46 and 283,002.42

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Solution

The fourth proportional to 567,224.94, 850,322.46 and 283,002.42 is: 424,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,224.94 : 850,322.46 = 283,002.42 : x
  2. Step 2: Convert to fraction form
    567,224.94/850,322.46 = 283,002.42/x
  3. Step 3: Cross multiply
    567,224.94x = 850,322.46 × 283,002.42
  4. Step 4: Simplify right side
    567,224.94x = 240,643,313,960.35
  5. Step 5: Solve for x
    x = 240,643,313,960.35/567,224.94
  6. Step 6: Final answer
    x = 424,246.71

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Why These Related Problems?

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