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Finding the Fourth Proportional to 298,784.76, 412,317.54 and 162,819.84

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Solution

The fourth proportional to 298,784.76, 412,317.54 and 162,819.84 is: 224,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,784.76 : 412,317.54 = 162,819.84 : x
  2. Step 2: Convert to fraction form
    298,784.76/412,317.54 = 162,819.84/x
  3. Step 3: Cross multiply
    298,784.76x = 412,317.54 × 162,819.84
  4. Step 4: Simplify right side
    298,784.76x = 67,133,475,891.99
  5. Step 5: Solve for x
    x = 67,133,475,891.99/298,784.76
  6. Step 6: Final answer
    x = 224,688.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.