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Finding the Fourth Proportional to 334,994.76, 502,425.32 and 164,143.08

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Solution

The fourth proportional to 334,994.76, 502,425.32 and 164,143.08 is: 246,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,994.76 : 502,425.32 = 164,143.08 : x
  2. Step 2: Convert to fraction form
    334,994.76/502,425.32 = 164,143.08/x
  3. Step 3: Cross multiply
    334,994.76x = 502,425.32 × 164,143.08
  4. Step 4: Simplify right side
    334,994.76x = 82,469,638,674.07
  5. Step 5: Solve for x
    x = 82,469,638,674.07/334,994.76
  6. Step 6: Final answer
    x = 246,181.88

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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.