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Finding the Fourth Proportional to 409,917.48, 565,949.33 and 257,165.11

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Solution

The fourth proportional to 409,917.48, 565,949.33 and 257,165.11 is: 355,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,917.48 : 565,949.33 = 257,165.11 : x
  2. Step 2: Convert to fraction form
    409,917.48/565,949.33 = 257,165.11/x
  3. Step 3: Cross multiply
    409,917.48x = 565,949.33 × 257,165.11
  4. Step 4: Simplify right side
    409,917.48x = 145,542,421,703.88
  5. Step 5: Solve for x
    x = 145,542,421,703.88/409,917.48
  6. Step 6: Final answer
    x = 355,052.98

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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.