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Finding the Fourth Proportional to 296,310.96, 408,906 and 160,341.84

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Solution

The fourth proportional to 296,310.96, 408,906 and 160,341.84 is: 221,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,310.96 : 408,906 = 160,341.84 : x
  2. Step 2: Convert to fraction form
    296,310.96/408,906 = 160,341.84/x
  3. Step 3: Cross multiply
    296,310.96x = 408,906 × 160,341.84
  4. Step 4: Simplify right side
    296,310.96x = 65,564,740,427.04
  5. Step 5: Solve for x
    x = 65,564,740,427.04/296,310.96
  6. Step 6: Final answer
    x = 221,270.05

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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.