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Finding the Fourth Proportional to 323,274.42, 484,881.09 and 152,456.49

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Solution

The fourth proportional to 323,274.42, 484,881.09 and 152,456.49 is: 228,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,274.42 : 484,881.09 = 152,456.49 : x
  2. Step 2: Convert to fraction form
    323,274.42/484,881.09 = 152,456.49/x
  3. Step 3: Cross multiply
    323,274.42x = 484,881.09 × 152,456.49
  4. Step 4: Simplify right side
    323,274.42x = 73,923,269,048.77
  5. Step 5: Solve for x
    x = 73,923,269,048.77/323,274.42
  6. Step 6: Final answer
    x = 228,670.33

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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.