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Finding the Fourth Proportional to 338,002.99, 506,989.09 and 113,346.15

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Solution

The fourth proportional to 338,002.99, 506,989.09 and 113,346.15 is: 170,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,002.99 : 506,989.09 = 113,346.15 : x
  2. Step 2: Convert to fraction form
    338,002.99/506,989.09 = 113,346.15/x
  3. Step 3: Cross multiply
    338,002.99x = 506,989.09 × 113,346.15
  4. Step 4: Simplify right side
    338,002.99x = 57,465,259,683.98
  5. Step 5: Solve for x
    x = 57,465,259,683.98/338,002.99
  6. Step 6: Final answer
    x = 170,014.06

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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.