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Finding the Fourth Proportional to 334,437.96, 461,493.93 and 198,448.50

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Solution

The fourth proportional to 334,437.96, 461,493.93 and 198,448.50 is: 273,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,437.96 : 461,493.93 = 198,448.50 : x
  2. Step 2: Convert to fraction form
    334,437.96/461,493.93 = 198,448.50/x
  3. Step 3: Cross multiply
    334,437.96x = 461,493.93 × 198,448.50
  4. Step 4: Simplify right side
    334,437.96x = 91,582,778,167.61
  5. Step 5: Solve for x
    x = 91,582,778,167.61/334,437.96
  6. Step 6: Final answer
    x = 273,840.86

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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.