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Finding the Fourth Proportional to 296,352, 408,972.24 and 162,216

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Solution

The fourth proportional to 296,352, 408,972.24 and 162,216 is: 223,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352 : 408,972.24 = 162,216 : x
  2. Step 2: Convert to fraction form
    296,352/408,972.24 = 162,216/x
  3. Step 3: Cross multiply
    296,352x = 408,972.24 × 162,216
  4. Step 4: Simplify right side
    296,352x = 66,341,840,883.84
  5. Step 5: Solve for x
    x = 66,341,840,883.84/296,352
  6. Step 6: Final answer
    x = 223,861.63

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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.