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Finding the Fourth Proportional to 298,864.82, 412,433.76 and 162,898.88

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Solution

The fourth proportional to 298,864.82, 412,433.76 and 162,898.88 is: 224,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864.82 : 412,433.76 = 162,898.88 : x
  2. Step 2: Convert to fraction form
    298,864.82/412,433.76 = 162,898.88/x
  3. Step 3: Cross multiply
    298,864.82x = 412,433.76 × 162,898.88
  4. Step 4: Simplify right side
    298,864.82x = 67,184,997,578.19
  5. Step 5: Solve for x
    x = 67,184,997,578.19/298,864.82
  6. Step 6: Final answer
    x = 224,800.62

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1.5x scale

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.