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Finding the Fourth Proportional to 484,489, 726,739.98 and 152,065

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Solution

The fourth proportional to 484,489, 726,739.98 and 152,065 is: 228,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,489 : 726,739.98 = 152,065 : x
  2. Step 2: Convert to fraction form
    484,489/726,739.98 = 152,065/x
  3. Step 3: Cross multiply
    484,489x = 726,739.98 × 152,065
  4. Step 4: Simplify right side
    484,489x = 110,511,715,058.70
  5. Step 5: Solve for x
    x = 110,511,715,058.70/484,489
  6. Step 6: Final answer
    x = 228,099.53

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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.