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Finding the Fourth Proportional to 531,473, 733,432.74 and 293,009

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Solution

The fourth proportional to 531,473, 733,432.74 and 293,009 is: 404,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,473 : 733,432.74 = 293,009 : x
  2. Step 2: Convert to fraction form
    531,473/733,432.74 = 293,009/x
  3. Step 3: Cross multiply
    531,473x = 733,432.74 × 293,009
  4. Step 4: Simplify right side
    531,473x = 214,902,393,714.66
  5. Step 5: Solve for x
    x = 214,902,393,714.66/531,473
  6. Step 6: Final answer
    x = 404,352.42

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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.