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Finding the Fourth Proportional to 456,497.16, 685,410.42 and 324,080.52

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Solution

The fourth proportional to 456,497.16, 685,410.42 and 324,080.52 is: 486,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,497.16 : 685,410.42 = 324,080.52 : x
  2. Step 2: Convert to fraction form
    456,497.16/685,410.42 = 324,080.52/x
  3. Step 3: Cross multiply
    456,497.16x = 685,410.42 × 324,080.52
  4. Step 4: Simplify right side
    456,497.16x = 222,128,165,327.02
  5. Step 5: Solve for x
    x = 222,128,165,327.02/456,497.16
  6. Step 6: Final answer
    x = 486,592.66

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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.