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Finding the Fourth Proportional to 577,408.20, 866,112.30 and 364,831.80

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Solution

The fourth proportional to 577,408.20, 866,112.30 and 364,831.80 is: 547,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,408.20 : 866,112.30 = 364,831.80 : x
  2. Step 2: Convert to fraction form
    577,408.20/866,112.30 = 364,831.80/x
  3. Step 3: Cross multiply
    577,408.20x = 866,112.30 × 364,831.80
  4. Step 4: Simplify right side
    577,408.20x = 315,985,309,411.14
  5. Step 5: Solve for x
    x = 315,985,309,411.14/577,408.20
  6. Step 6: Final answer
    x = 547,247.70

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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.