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Finding the Fourth Proportional to 297,233.40, 410,173.02 and 212,492.28

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Solution

The fourth proportional to 297,233.40, 410,173.02 and 212,492.28 is: 293,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,233.40 : 410,173.02 = 212,492.28 : x
  2. Step 2: Convert to fraction form
    297,233.40/410,173.02 = 212,492.28/x
  3. Step 3: Cross multiply
    297,233.40x = 410,173.02 × 212,492.28
  4. Step 4: Simplify right side
    297,233.40x = 87,158,600,214.29
  5. Step 5: Solve for x
    x = 87,158,600,214.29/297,233.40
  6. Step 6: Final answer
    x = 293,232.86

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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.