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Finding the Fourth Proportional to 304,766.47, 456,714.13 and 171,366.76

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Solution

The fourth proportional to 304,766.47, 456,714.13 and 171,366.76 is: 256,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,766.47 : 456,714.13 = 171,366.76 : x
  2. Step 2: Convert to fraction form
    304,766.47/456,714.13 = 171,366.76/x
  3. Step 3: Cross multiply
    304,766.47x = 456,714.13 × 171,366.76
  4. Step 4: Simplify right side
    304,766.47x = 78,265,620,704.32
  5. Step 5: Solve for x
    x = 78,265,620,704.32/304,766.47
  6. Step 6: Final answer
    x = 256,805.22

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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.