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Finding the Fourth Proportional to 342,536.27, 472,696.57 and 189,574.76

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Solution

The fourth proportional to 342,536.27, 472,696.57 and 189,574.76 is: 261,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,536.27 : 472,696.57 = 189,574.76 : x
  2. Step 2: Convert to fraction form
    342,536.27/472,696.57 = 189,574.76/x
  3. Step 3: Cross multiply
    342,536.27x = 472,696.57 × 189,574.76
  4. Step 4: Simplify right side
    342,536.27x = 89,611,336,639.05
  5. Step 5: Solve for x
    x = 89,611,336,639.05/342,536.27
  6. Step 6: Final answer
    x = 261,611.24

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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.