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Finding the Fourth Proportional to 334,800.96, 461,953.44 and 198,880.74

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Solution

The fourth proportional to 334,800.96, 461,953.44 and 198,880.74 is: 274,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,800.96 : 461,953.44 = 198,880.74 : x
  2. Step 2: Convert to fraction form
    334,800.96/461,953.44 = 198,880.74/x
  3. Step 3: Cross multiply
    334,800.96x = 461,953.44 × 198,880.74
  4. Step 4: Simplify right side
    334,800.96x = 91,873,641,992.75
  5. Step 5: Solve for x
    x = 91,873,641,992.75/334,800.96
  6. Step 6: Final answer
    x = 274,412.72

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1.5x scale

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.