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Finding the Fourth Proportional to 470,961.22, 649,847.65 and 277,407.47

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Solution

The fourth proportional to 470,961.22, 649,847.65 and 277,407.47 is: 382,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,961.22 : 649,847.65 = 277,407.47 : x
  2. Step 2: Convert to fraction form
    470,961.22/649,847.65 = 277,407.47/x
  3. Step 3: Cross multiply
    470,961.22x = 649,847.65 × 277,407.47
  4. Step 4: Simplify right side
    470,961.22x = 180,272,592,471.95
  5. Step 5: Solve for x
    x = 180,272,592,471.95/470,961.22
  6. Step 6: Final answer
    x = 382,775.87

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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.