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Finding the Fourth Proportional to 293,743.24, 405,368.16 and 159,607.24

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Solution

The fourth proportional to 293,743.24, 405,368.16 and 159,607.24 is: 220,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,743.24 : 405,368.16 = 159,607.24 : x
  2. Step 2: Convert to fraction form
    293,743.24/405,368.16 = 159,607.24/x
  3. Step 3: Cross multiply
    293,743.24x = 405,368.16 × 159,607.24
  4. Step 4: Simplify right side
    293,743.24x = 64,699,693,201.48
  5. Step 5: Solve for x
    x = 64,699,693,201.48/293,743.24
  6. Step 6: Final answer
    x = 220,259.34

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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.