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Finding the Fourth Proportional to 567,874.43, 783,652.98 and 313,220.15

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Solution

The fourth proportional to 567,874.43, 783,652.98 and 313,220.15 is: 432,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,874.43 : 783,652.98 = 313,220.15 : x
  2. Step 2: Convert to fraction form
    567,874.43/783,652.98 = 313,220.15/x
  3. Step 3: Cross multiply
    567,874.43x = 783,652.98 × 313,220.15
  4. Step 4: Simplify right side
    567,874.43x = 245,455,903,943.55
  5. Step 5: Solve for x
    x = 245,455,903,943.55/567,874.43
  6. Step 6: Final answer
    x = 432,236.23

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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.