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Finding the Fourth Proportional to 409,989.20, 565,569.96 and 333,593.60

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Solution

The fourth proportional to 409,989.20, 565,569.96 and 333,593.60 is: 460,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,989.20 : 565,569.96 = 333,593.60 : x
  2. Step 2: Convert to fraction form
    409,989.20/565,569.96 = 333,593.60/x
  3. Step 3: Cross multiply
    409,989.20x = 565,569.96 × 333,593.60
  4. Step 4: Simplify right side
    409,989.20x = 188,670,519,008.26
  5. Step 5: Solve for x
    x = 188,670,519,008.26/409,989.20
  6. Step 6: Final answer
    x = 460,184.12

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Why These Related Problems?

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