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Finding the Fourth Proportional to 334,594.08, 461,709.10 and 198,604.80

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Solution

The fourth proportional to 334,594.08, 461,709.10 and 198,604.80 is: 274,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,594.08 : 461,709.10 = 198,604.80 : x
  2. Step 2: Convert to fraction form
    334,594.08/461,709.10 = 198,604.80/x
  3. Step 3: Cross multiply
    334,594.08x = 461,709.10 × 198,604.80
  4. Step 4: Simplify right side
    334,594.08x = 91,697,643,463.68
  5. Step 5: Solve for x
    x = 91,697,643,463.68/334,594.08
  6. Step 6: Final answer
    x = 274,056.38

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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.