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Finding the Fourth Proportional to 298,493.50, 411,928.42 and 162,534.90

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Solution

The fourth proportional to 298,493.50, 411,928.42 and 162,534.90 is: 224,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,493.50 : 411,928.42 = 162,534.90 : x
  2. Step 2: Convert to fraction form
    298,493.50/411,928.42 = 162,534.90/x
  3. Step 3: Cross multiply
    298,493.50x = 411,928.42 × 162,534.90
  4. Step 4: Simplify right side
    298,493.50x = 66,952,744,551.86
  5. Step 5: Solve for x
    x = 66,952,744,551.86/298,493.50
  6. Step 6: Final answer
    x = 224,302.19

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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.