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Finding the Fourth Proportional to 297,053.82, 409,241.16 and 243,023.94

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Solution

The fourth proportional to 297,053.82, 409,241.16 and 243,023.94 is: 334,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,053.82 : 409,241.16 = 243,023.94 : x
  2. Step 2: Convert to fraction form
    297,053.82/409,241.16 = 243,023.94/x
  3. Step 3: Cross multiply
    297,053.82x = 409,241.16 × 243,023.94
  4. Step 4: Simplify right side
    297,053.82x = 99,455,399,113.37
  5. Step 5: Solve for x
    x = 99,455,399,113.37/297,053.82
  6. Step 6: Final answer
    x = 334,805.99

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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.