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Finding the Fourth Proportional to 567,097.24, 850,767.90 and 282,940.60

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Solution

The fourth proportional to 567,097.24, 850,767.90 and 282,940.60 is: 424,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,097.24 : 850,767.90 = 282,940.60 : x
  2. Step 2: Convert to fraction form
    567,097.24/850,767.90 = 282,940.60/x
  3. Step 3: Cross multiply
    567,097.24x = 850,767.90 × 282,940.60
  4. Step 4: Simplify right side
    567,097.24x = 240,716,780,086.74
  5. Step 5: Solve for x
    x = 240,716,780,086.74/567,097.24
  6. Step 6: Final answer
    x = 424,471.79

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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.