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Finding the Fourth Proportional to 538,723.93, 743,416.59 and 293,703.37

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Solution

The fourth proportional to 538,723.93, 743,416.59 and 293,703.37 is: 405,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,723.93 : 743,416.59 = 293,703.37 : x
  2. Step 2: Convert to fraction form
    538,723.93/743,416.59 = 293,703.37/x
  3. Step 3: Cross multiply
    538,723.93x = 743,416.59 × 293,703.37
  4. Step 4: Simplify right side
    538,723.93x = 218,343,957,796.91
  5. Step 5: Solve for x
    x = 218,343,957,796.91/538,723.93
  6. Step 6: Final answer
    x = 405,298.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.