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Finding the Fourth Proportional to 297,955.83, 411,187.14 and 161,998.92

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Solution

The fourth proportional to 297,955.83, 411,187.14 and 161,998.92 is: 223,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,955.83 : 411,187.14 = 161,998.92 : x
  2. Step 2: Convert to fraction form
    297,955.83/411,187.14 = 161,998.92/x
  3. Step 3: Cross multiply
    297,955.83x = 411,187.14 × 161,998.92
  4. Step 4: Simplify right side
    297,955.83x = 66,611,872,597.89
  5. Step 5: Solve for x
    x = 66,611,872,597.89/297,955.83
  6. Step 6: Final answer
    x = 223,562.91

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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.