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Finding the Fourth Proportional to 298,145.18, 411,302.12 and 177,218.66

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Solution

The fourth proportional to 298,145.18, 411,302.12 and 177,218.66 is: 244,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,145.18 : 411,302.12 = 177,218.66 : x
  2. Step 2: Convert to fraction form
    298,145.18/411,302.12 = 177,218.66/x
  3. Step 3: Cross multiply
    298,145.18x = 411,302.12 × 177,218.66
  4. Step 4: Simplify right side
    298,145.18x = 72,890,410,561.56
  5. Step 5: Solve for x
    x = 72,890,410,561.56/298,145.18
  6. Step 6: Final answer
    x = 244,479.59

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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.