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Finding the Fourth Proportional to 502,418.36, 753,466.54 and 165,380.60

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Solution

The fourth proportional to 502,418.36, 753,466.54 and 165,380.60 is: 248,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,418.36 : 753,466.54 = 165,380.60 : x
  2. Step 2: Convert to fraction form
    502,418.36/753,466.54 = 165,380.60/x
  3. Step 3: Cross multiply
    502,418.36x = 753,466.54 × 165,380.60
  4. Step 4: Simplify right side
    502,418.36x = 124,608,748,465.12
  5. Step 5: Solve for x
    x = 124,608,748,465.12/502,418.36
  6. Step 6: Final answer
    x = 248,017.90

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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.