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Finding the Fourth Proportional to 470,793.15, 649,686.89 and 255,938.63

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Solution

The fourth proportional to 470,793.15, 649,686.89 and 255,938.63 is: 353,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,793.15 : 649,686.89 = 255,938.63 : x
  2. Step 2: Convert to fraction form
    470,793.15/649,686.89 = 255,938.63/x
  3. Step 3: Cross multiply
    470,793.15x = 649,686.89 × 255,938.63
  4. Step 4: Simplify right side
    470,793.15x = 166,279,968,027.43
  5. Step 5: Solve for x
    x = 166,279,968,027.43/470,793.15
  6. Step 6: Final answer
    x = 353,191.14

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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.