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Finding the Fourth Proportional to 413,824.63, 620,724.54 and 114,323.14

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Solution

The fourth proportional to 413,824.63, 620,724.54 and 114,323.14 is: 171,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,824.63 : 620,724.54 = 114,323.14 : x
  2. Step 2: Convert to fraction form
    413,824.63/620,724.54 = 114,323.14/x
  3. Step 3: Cross multiply
    413,824.63x = 620,724.54 × 114,323.14
  4. Step 4: Simplify right side
    413,824.63x = 70,963,178,487.86
  5. Step 5: Solve for x
    x = 70,963,178,487.86/413,824.63
  6. Step 6: Final answer
    x = 171,481.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.