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Finding the Fourth Proportional to 531,662.48, 733,512.84 and 302,196.56

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Solution

The fourth proportional to 531,662.48, 733,512.84 and 302,196.56 is: 416,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,662.48 : 733,512.84 = 302,196.56 : x
  2. Step 2: Convert to fraction form
    531,662.48/733,512.84 = 302,196.56/x
  3. Step 3: Cross multiply
    531,662.48x = 733,512.84 × 302,196.56
  4. Step 4: Simplify right side
    531,662.48x = 221,665,056,963.83
  5. Step 5: Solve for x
    x = 221,665,056,963.83/531,662.48
  6. Step 6: Final answer
    x = 416,928.16

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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.