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Finding the Fourth Proportional to 567,960.52, 783,781.14 and 313,322.44

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Solution

The fourth proportional to 567,960.52, 783,781.14 and 313,322.44 is: 432,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,960.52 : 783,781.14 = 313,322.44 : x
  2. Step 2: Convert to fraction form
    567,960.52/783,781.14 = 313,322.44/x
  3. Step 3: Cross multiply
    567,960.52x = 783,781.14 × 313,322.44
  4. Step 4: Simplify right side
    567,960.52x = 245,576,219,210.78
  5. Step 5: Solve for x
    x = 245,576,219,210.78/567,960.52
  6. Step 6: Final answer
    x = 432,382.55

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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.