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Finding the Fourth Proportional to 295,684.30, 408,044.49 and 159,718.25

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Solution

The fourth proportional to 295,684.30, 408,044.49 and 159,718.25 is: 220,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,684.30 : 408,044.49 = 159,718.25 : x
  2. Step 2: Convert to fraction form
    295,684.30/408,044.49 = 159,718.25/x
  3. Step 3: Cross multiply
    295,684.30x = 408,044.49 × 159,718.25
  4. Step 4: Simplify right side
    295,684.30x = 65,172,151,338.48
  5. Step 5: Solve for x
    x = 65,172,151,338.48/295,684.30
  6. Step 6: Final answer
    x = 220,411.27

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1.5x scale

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.