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Finding the Fourth Proportional to 298,462.38, 411,875.61 and 162,496.05

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Solution

The fourth proportional to 298,462.38, 411,875.61 and 162,496.05 is: 224,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,462.38 : 411,875.61 = 162,496.05 : x
  2. Step 2: Convert to fraction form
    298,462.38/411,875.61 = 162,496.05/x
  3. Step 3: Cross multiply
    298,462.38x = 411,875.61 × 162,496.05
  4. Step 4: Simplify right side
    298,462.38x = 66,928,159,716.34
  5. Step 5: Solve for x
    x = 66,928,159,716.34/298,462.38
  6. Step 6: Final answer
    x = 224,243.20

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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.