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Finding the Fourth Proportional to 298,002.24, 411,248.21 and 162,037.10

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Solution

The fourth proportional to 298,002.24, 411,248.21 and 162,037.10 is: 223,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.24 : 411,248.21 = 162,037.10 : x
  2. Step 2: Convert to fraction form
    298,002.24/411,248.21 = 162,037.10/x
  3. Step 3: Cross multiply
    298,002.24x = 411,248.21 × 162,037.10
  4. Step 4: Simplify right side
    298,002.24x = 66,637,467,546.53
  5. Step 5: Solve for x
    x = 66,637,467,546.53/298,002.24
  6. Step 6: Final answer
    x = 223,613.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.