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Finding the Fourth Proportional to 295,696.93, 408,061.51 and 159,730.84

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Solution

The fourth proportional to 295,696.93, 408,061.51 and 159,730.84 is: 220,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,696.93 : 408,061.51 = 159,730.84 : x
  2. Step 2: Convert to fraction form
    295,696.93/408,061.51 = 159,730.84/x
  3. Step 3: Cross multiply
    295,696.93x = 408,061.51 × 159,730.84
  4. Step 4: Simplify right side
    295,696.93x = 65,180,007,763.97
  5. Step 5: Solve for x
    x = 65,180,007,763.97/295,696.93
  6. Step 6: Final answer
    x = 220,428.42

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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.