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Finding the Fourth Proportional to 323,164.24, 484,582.32 and 242,463.94

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Solution

The fourth proportional to 323,164.24, 484,582.32 and 242,463.94 is: 363,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,164.24 : 484,582.32 = 242,463.94 : x
  2. Step 2: Convert to fraction form
    323,164.24/484,582.32 = 242,463.94/x
  3. Step 3: Cross multiply
    323,164.24x = 484,582.32 × 242,463.94
  4. Step 4: Simplify right side
    323,164.24x = 117,493,738,561.54
  5. Step 5: Solve for x
    x = 117,493,738,561.54/323,164.24
  6. Step 6: Final answer
    x = 363,572.83

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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.