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Finding the Fourth Proportional to 297,041.40, 409,706.64 and 182,325.96

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Solution

The fourth proportional to 297,041.40, 409,706.64 and 182,325.96 is: 251,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,041.40 : 409,706.64 = 182,325.96 : x
  2. Step 2: Convert to fraction form
    297,041.40/409,706.64 = 182,325.96/x
  3. Step 3: Cross multiply
    297,041.40x = 409,706.64 × 182,325.96
  4. Step 4: Simplify right side
    297,041.40x = 74,700,156,456.37
  5. Step 5: Solve for x
    x = 74,700,156,456.37/297,041.40
  6. Step 6: Final answer
    x = 251,480.62

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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.