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Finding the Fourth Proportional to 502,546.56, 753,912.18 and 165,607.08

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Solution

The fourth proportional to 502,546.56, 753,912.18 and 165,607.08 is: 248,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,546.56 : 753,912.18 = 165,607.08 : x
  2. Step 2: Convert to fraction form
    502,546.56/753,912.18 = 165,607.08/x
  3. Step 3: Cross multiply
    502,546.56x = 753,912.18 × 165,607.08
  4. Step 4: Simplify right side
    502,546.56x = 124,853,194,706.23
  5. Step 5: Solve for x
    x = 124,853,194,706.23/502,546.56
  6. Step 6: Final answer
    x = 248,441.05

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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.