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Finding the Fourth Proportional to 334,478.33, 461,429.41 and 198,518.01

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Solution

The fourth proportional to 334,478.33, 461,429.41 and 198,518.01 is: 273,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,478.33 : 461,429.41 = 198,518.01 : x
  2. Step 2: Convert to fraction form
    334,478.33/461,429.41 = 198,518.01/x
  3. Step 3: Cross multiply
    334,478.33x = 461,429.41 × 198,518.01
  4. Step 4: Simplify right side
    334,478.33x = 91,602,046,374.24
  5. Step 5: Solve for x
    x = 91,602,046,374.24/334,478.33
  6. Step 6: Final answer
    x = 273,865.42

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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.