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Finding the Fourth Proportional to 298,411.03, 411,806.05 and 162,452.53

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Solution

The fourth proportional to 298,411.03, 411,806.05 and 162,452.53 is: 224,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411.03 : 411,806.05 = 162,452.53 : x
  2. Step 2: Convert to fraction form
    298,411.03/411,806.05 = 162,452.53/x
  3. Step 3: Cross multiply
    298,411.03x = 411,806.05 × 162,452.53
  4. Step 4: Simplify right side
    298,411.03x = 66,898,934,691.81
  5. Step 5: Solve for x
    x = 66,898,934,691.81/298,411.03
  6. Step 6: Final answer
    x = 224,183.85

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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.