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Finding the Fourth Proportional to 470,791.83, 649,690.01 and 266,881.21

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Solution

The fourth proportional to 470,791.83, 649,690.01 and 266,881.21 is: 368,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,791.83 : 649,690.01 = 266,881.21 : x
  2. Step 2: Convert to fraction form
    470,791.83/649,690.01 = 266,881.21/x
  3. Step 3: Cross multiply
    470,791.83x = 649,690.01 × 266,881.21
  4. Step 4: Simplify right side
    470,791.83x = 173,390,054,659.31
  5. Step 5: Solve for x
    x = 173,390,054,659.31/470,791.83
  6. Step 6: Final answer
    x = 368,294.53

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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.