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Finding the Fourth Proportional to 334,704.50, 502,072.90 and 110,059.96

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Solution

The fourth proportional to 334,704.50, 502,072.90 and 110,059.96 is: 165,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,704.50 : 502,072.90 = 110,059.96 : x
  2. Step 2: Convert to fraction form
    334,704.50/502,072.90 = 110,059.96/x
  3. Step 3: Cross multiply
    334,704.50x = 502,072.90 × 110,059.96
  4. Step 4: Simplify right side
    334,704.50x = 55,258,123,291.08
  5. Step 5: Solve for x
    x = 55,258,123,291.08/334,704.50
  6. Step 6: Final answer
    x = 165,095.25

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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.