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Finding the Fourth Proportional to 484,948.56, 727,537.32 and 152,524.56

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Solution

The fourth proportional to 484,948.56, 727,537.32 and 152,524.56 is: 228,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,948.56 : 727,537.32 = 152,524.56 : x
  2. Step 2: Convert to fraction form
    484,948.56/727,537.32 = 152,524.56/x
  3. Step 3: Cross multiply
    484,948.56x = 727,537.32 × 152,524.56
  4. Step 4: Simplify right side
    484,948.56x = 110,967,309,616.58
  5. Step 5: Solve for x
    x = 110,967,309,616.58/484,948.56
  6. Step 6: Final answer
    x = 228,822.85

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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.