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Finding the Fourth Proportional to 298,068.65, 411,337.73 and 162,105.64

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Solution

The fourth proportional to 298,068.65, 411,337.73 and 162,105.64 is: 223,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,068.65 : 411,337.73 = 162,105.64 : x
  2. Step 2: Convert to fraction form
    298,068.65/411,337.73 = 162,105.64/x
  3. Step 3: Cross multiply
    298,068.65x = 411,337.73 × 162,105.64
  4. Step 4: Simplify right side
    298,068.65x = 66,680,165,977.80
  5. Step 5: Solve for x
    x = 66,680,165,977.80/298,068.65
  6. Step 6: Final answer
    x = 223,707.41

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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.