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Finding the Fourth Proportional to 410,672, 616,253.76 and 177,200

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Solution

The fourth proportional to 410,672, 616,253.76 and 177,200 is: 265,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,672 : 616,253.76 = 177,200 : x
  2. Step 2: Convert to fraction form
    410,672/616,253.76 = 177,200/x
  3. Step 3: Cross multiply
    410,672x = 616,253.76 × 177,200
  4. Step 4: Simplify right side
    410,672x = 109,200,166,272
  5. Step 5: Solve for x
    x = 109,200,166,272/410,672
  6. Step 6: Final answer
    x = 265,906.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.