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Finding the Fourth Proportional to 468,319.92, 701,914.17 and 228,073.82

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Solution

The fourth proportional to 468,319.92, 701,914.17 and 228,073.82 is: 341,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,319.92 : 701,914.17 = 228,073.82 : x
  2. Step 2: Convert to fraction form
    468,319.92/701,914.17 = 228,073.82/x
  3. Step 3: Cross multiply
    468,319.92x = 701,914.17 × 228,073.82
  4. Step 4: Simplify right side
    468,319.92x = 160,088,243,409.74
  5. Step 5: Solve for x
    x = 160,088,243,409.74/468,319.92
  6. Step 6: Final answer
    x = 341,835.22

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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.