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Finding the Fourth Proportional to 475,902.60, 656,733.75 and 271,940.58

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Solution

The fourth proportional to 475,902.60, 656,733.75 and 271,940.58 is: 375,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,902.60 : 656,733.75 = 271,940.58 : x
  2. Step 2: Convert to fraction form
    475,902.60/656,733.75 = 271,940.58/x
  3. Step 3: Cross multiply
    475,902.60x = 656,733.75 × 271,940.58
  4. Step 4: Simplify right side
    475,902.60x = 178,592,556,880.58
  5. Step 5: Solve for x
    x = 178,592,556,880.58/475,902.60
  6. Step 6: Final answer
    x = 375,271.24

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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.