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Finding the Fourth Proportional to 431,841.17, 646,433.12 and 281,758.29

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Solution

The fourth proportional to 431,841.17, 646,433.12 and 281,758.29 is: 421,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,841.17 : 646,433.12 = 281,758.29 : x
  2. Step 2: Convert to fraction form
    431,841.17/646,433.12 = 281,758.29/x
  3. Step 3: Cross multiply
    431,841.17x = 646,433.12 × 281,758.29
  4. Step 4: Simplify right side
    431,841.17x = 182,137,889,081.77
  5. Step 5: Solve for x
    x = 182,137,889,081.77/431,841.17
  6. Step 6: Final answer
    x = 421,770.56

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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.