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Finding the Fourth Proportional to 297,021.80, 409,960.98 and 176,233.19

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Solution

The fourth proportional to 297,021.80, 409,960.98 and 176,233.19 is: 243,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,021.80 : 409,960.98 = 176,233.19 : x
  2. Step 2: Convert to fraction form
    297,021.80/409,960.98 = 176,233.19/x
  3. Step 3: Cross multiply
    297,021.80x = 409,960.98 × 176,233.19
  4. Step 4: Simplify right side
    297,021.80x = 72,248,729,231.12
  5. Step 5: Solve for x
    x = 72,248,729,231.12/297,021.80
  6. Step 6: Final answer
    x = 243,243.86

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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.