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Finding the Fourth Proportional to 366,233.56, 549,264.30 and 206,379.16

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Solution

The fourth proportional to 366,233.56, 549,264.30 and 206,379.16 is: 309,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,233.56 : 549,264.30 = 206,379.16 : x
  2. Step 2: Convert to fraction form
    366,233.56/549,264.30 = 206,379.16/x
  3. Step 3: Cross multiply
    366,233.56x = 549,264.30 × 206,379.16
  4. Step 4: Simplify right side
    366,233.56x = 113,356,704,851.99
  5. Step 5: Solve for x
    x = 113,356,704,851.99/366,233.56
  6. Step 6: Final answer
    x = 309,520.25

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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.