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Finding the Fourth Proportional to 359,445.72, 496,059.16 and 206,533.41

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Solution

The fourth proportional to 359,445.72, 496,059.16 and 206,533.41 is: 285,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,445.72 : 496,059.16 = 206,533.41 : x
  2. Step 2: Convert to fraction form
    359,445.72/496,059.16 = 206,533.41/x
  3. Step 3: Cross multiply
    359,445.72x = 496,059.16 × 206,533.41
  4. Step 4: Simplify right side
    359,445.72x = 102,452,789,360.20
  5. Step 5: Solve for x
    x = 102,452,789,360.20/359,445.72
  6. Step 6: Final answer
    x = 285,029.93

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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.