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Finding the Fourth Proportional to 338,173.41, 507,446.82 and 188,497.98

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Solution

The fourth proportional to 338,173.41, 507,446.82 and 188,497.98 is: 282,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,173.41 : 507,446.82 = 188,497.98 : x
  2. Step 2: Convert to fraction form
    338,173.41/507,446.82 = 188,497.98/x
  3. Step 3: Cross multiply
    338,173.41x = 507,446.82 × 188,497.98
  4. Step 4: Simplify right side
    338,173.41x = 95,652,700,527.42
  5. Step 5: Solve for x
    x = 95,652,700,527.42/338,173.41
  6. Step 6: Final answer
    x = 282,851.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.