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Finding the Fourth Proportional to 296,353, 408,973.62 and 162,217

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Solution

The fourth proportional to 296,353, 408,973.62 and 162,217 is: 223,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,353 : 408,973.62 = 162,217 : x
  2. Step 2: Convert to fraction form
    296,353/408,973.62 = 162,217/x
  3. Step 3: Cross multiply
    296,353x = 408,973.62 × 162,217
  4. Step 4: Simplify right side
    296,353x = 66,342,473,715.54
  5. Step 5: Solve for x
    x = 66,342,473,715.54/296,353
  6. Step 6: Final answer
    x = 223,863.01

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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.