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Finding the Fourth Proportional to 502,546.77, 753,808.19 and 123,466.82

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Solution

The fourth proportional to 502,546.77, 753,808.19 and 123,466.82 is: 185,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,546.77 : 753,808.19 = 123,466.82 : x
  2. Step 2: Convert to fraction form
    502,546.77/753,808.19 = 123,466.82/x
  3. Step 3: Cross multiply
    502,546.77x = 753,808.19 × 123,466.82
  4. Step 4: Simplify right side
    502,546.77x = 93,070,295,722.88
  5. Step 5: Solve for x
    x = 93,070,295,722.88/502,546.77
  6. Step 6: Final answer
    x = 185,197.28

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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.