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Finding the Fourth Proportional to 298,454.36, 411,864.51 and 162,487.96

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Solution

The fourth proportional to 298,454.36, 411,864.51 and 162,487.96 is: 224,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454.36 : 411,864.51 = 162,487.96 : x
  2. Step 2: Convert to fraction form
    298,454.36/411,864.51 = 162,487.96/x
  3. Step 3: Cross multiply
    298,454.36x = 411,864.51 × 162,487.96
  4. Step 4: Simplify right side
    298,454.36x = 66,923,024,026.30
  5. Step 5: Solve for x
    x = 66,923,024,026.30/298,454.36
  6. Step 6: Final answer
    x = 224,232.02

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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.