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Finding the Fourth Proportional to 580,714.97, 869,670.81 and 349,238.27

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Solution

The fourth proportional to 580,714.97, 869,670.81 and 349,238.27 is: 523,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,714.97 : 869,670.81 = 349,238.27 : x
  2. Step 2: Convert to fraction form
    580,714.97/869,670.81 = 349,238.27/x
  3. Step 3: Cross multiply
    580,714.97x = 869,670.81 × 349,238.27
  4. Step 4: Simplify right side
    580,714.97x = 303,722,331,328.08
  5. Step 5: Solve for x
    x = 303,722,331,328.08/580,714.97
  6. Step 6: Final answer
    x = 523,014.47

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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.