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Finding the Fourth Proportional to 295,812.09, 408,220.53 and 159,846

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Solution

The fourth proportional to 295,812.09, 408,220.53 and 159,846 is: 220,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,812.09 : 408,220.53 = 159,846 : x
  2. Step 2: Convert to fraction form
    295,812.09/408,220.53 = 159,846/x
  3. Step 3: Cross multiply
    295,812.09x = 408,220.53 × 159,846
  4. Step 4: Simplify right side
    295,812.09x = 65,252,418,838.38
  5. Step 5: Solve for x
    x = 65,252,418,838.38/295,812.09
  6. Step 6: Final answer
    x = 220,587.40

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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.