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Finding the Fourth Proportional to 334,784.15, 461,735.03 and 220,180.47

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Solution

The fourth proportional to 334,784.15, 461,735.03 and 220,180.47 is: 303,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,784.15 : 461,735.03 = 220,180.47 : x
  2. Step 2: Convert to fraction form
    334,784.15/461,735.03 = 220,180.47/x
  3. Step 3: Cross multiply
    334,784.15x = 461,735.03 × 220,180.47
  4. Step 4: Simplify right side
    334,784.15x = 101,665,034,739.81
  5. Step 5: Solve for x
    x = 101,665,034,739.81/334,784.15
  6. Step 6: Final answer
    x = 303,673.38

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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.