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Finding the Fourth Proportional to 531,906.13, 734,026.97 and 302,463.46

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Solution

The fourth proportional to 531,906.13, 734,026.97 and 302,463.46 is: 417,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,906.13 : 734,026.97 = 302,463.46 : x
  2. Step 2: Convert to fraction form
    531,906.13/734,026.97 = 302,463.46/x
  3. Step 3: Cross multiply
    531,906.13x = 734,026.97 × 302,463.46
  4. Step 4: Simplify right side
    531,906.13x = 222,016,337,079.52
  5. Step 5: Solve for x
    x = 222,016,337,079.52/531,906.13
  6. Step 6: Final answer
    x = 417,397.59

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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.