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Finding the Fourth Proportional to 298,426.65, 411,816.09 and 162,457.75

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Solution

The fourth proportional to 298,426.65, 411,816.09 and 162,457.75 is: 224,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,426.65 : 411,816.09 = 162,457.75 : x
  2. Step 2: Convert to fraction form
    298,426.65/411,816.09 = 162,457.75/x
  3. Step 3: Cross multiply
    298,426.65x = 411,816.09 × 162,457.75
  4. Step 4: Simplify right side
    298,426.65x = 66,902,715,395.20
  5. Step 5: Solve for x
    x = 66,902,715,395.20/298,426.65
  6. Step 6: Final answer
    x = 224,184.79

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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.