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Finding the Fourth Proportional to 431,375.42, 595,302.40 and 237,790

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Solution

The fourth proportional to 431,375.42, 595,302.40 and 237,790 is: 328,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,375.42 : 595,302.40 = 237,790 : x
  2. Step 2: Convert to fraction form
    431,375.42/595,302.40 = 237,790/x
  3. Step 3: Cross multiply
    431,375.42x = 595,302.40 × 237,790
  4. Step 4: Simplify right side
    431,375.42x = 141,556,957,696
  5. Step 5: Solve for x
    x = 141,556,957,696/431,375.42
  6. Step 6: Final answer
    x = 328,152.58

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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.