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Finding the Fourth Proportional to 538,637.42, 743,314.54 and 293,622.14

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Solution

The fourth proportional to 538,637.42, 743,314.54 and 293,622.14 is: 405,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,637.42 : 743,314.54 = 293,622.14 : x
  2. Step 2: Convert to fraction form
    538,637.42/743,314.54 = 293,622.14/x
  3. Step 3: Cross multiply
    538,637.42x = 743,314.54 × 293,622.14
  4. Step 4: Simplify right side
    538,637.42x = 218,253,605,927.92
  5. Step 5: Solve for x
    x = 218,253,605,927.92/538,637.42
  6. Step 6: Final answer
    x = 405,195.77

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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.