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Finding the Fourth Proportional to 475,772.87, 656,506.06 and 271,837

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Solution

The fourth proportional to 475,772.87, 656,506.06 and 271,837 is: 375,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,772.87 : 656,506.06 = 271,837 : x
  2. Step 2: Convert to fraction form
    475,772.87/656,506.06 = 271,837/x
  3. Step 3: Cross multiply
    475,772.87x = 656,506.06 × 271,837
  4. Step 4: Simplify right side
    475,772.87x = 178,462,637,832.22
  5. Step 5: Solve for x
    x = 178,462,637,832.22/475,772.87
  6. Step 6: Final answer
    x = 375,100.49

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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.