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Finding the Fourth Proportional to 512,165.40, 768,831.30 and 301,921.80

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Solution

The fourth proportional to 512,165.40, 768,831.30 and 301,921.80 is: 453,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,165.40 : 768,831.30 = 301,921.80 : x
  2. Step 2: Convert to fraction form
    512,165.40/768,831.30 = 301,921.80/x
  3. Step 3: Cross multiply
    512,165.40x = 768,831.30 × 301,921.80
  4. Step 4: Simplify right side
    512,165.40x = 232,126,929,992.34
  5. Step 5: Solve for x
    x = 232,126,929,992.34/512,165.40
  6. Step 6: Final answer
    x = 453,226.50

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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.