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Finding the Fourth Proportional to 298,036.92, 411,289.98 and 167,214.80

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Solution

The fourth proportional to 298,036.92, 411,289.98 and 167,214.80 is: 230,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,036.92 : 411,289.98 = 167,214.80 : x
  2. Step 2: Convert to fraction form
    298,036.92/411,289.98 = 167,214.80/x
  3. Step 3: Cross multiply
    298,036.92x = 411,289.98 × 167,214.80
  4. Step 4: Simplify right side
    298,036.92x = 68,773,771,747.70
  5. Step 5: Solve for x
    x = 68,773,771,747.70/298,036.92
  6. Step 6: Final answer
    x = 230,755.88

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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.