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Finding the Fourth Proportional to 547,114.24, 755,014.77 and 317,727.93

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Solution

The fourth proportional to 547,114.24, 755,014.77 and 317,727.93 is: 438,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,114.24 : 755,014.77 = 317,727.93 : x
  2. Step 2: Convert to fraction form
    547,114.24/755,014.77 = 317,727.93/x
  3. Step 3: Cross multiply
    547,114.24x = 755,014.77 × 317,727.93
  4. Step 4: Simplify right side
    547,114.24x = 239,889,279,991.53
  5. Step 5: Solve for x
    x = 239,889,279,991.53/547,114.24
  6. Step 6: Final answer
    x = 438,462.87

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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.