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Finding the Fourth Proportional to 409,924.17, 565,480.26 and 333,528.66

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Solution

The fourth proportional to 409,924.17, 565,480.26 and 333,528.66 is: 460,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,924.17 : 565,480.26 = 333,528.66 : x
  2. Step 2: Convert to fraction form
    409,924.17/565,480.26 = 333,528.66/x
  3. Step 3: Cross multiply
    409,924.17x = 565,480.26 × 333,528.66
  4. Step 4: Simplify right side
    409,924.17x = 188,603,873,374.25
  5. Step 5: Solve for x
    x = 188,603,873,374.25/409,924.17
  6. Step 6: Final answer
    x = 460,094.54

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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.