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Finding the Fourth Proportional to 435,820.68, 600,909.22 and 314,768.52

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Solution

The fourth proportional to 435,820.68, 600,909.22 and 314,768.52 is: 434,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,820.68 : 600,909.22 = 314,768.52 : x
  2. Step 2: Convert to fraction form
    435,820.68/600,909.22 = 314,768.52/x
  3. Step 3: Cross multiply
    435,820.68x = 600,909.22 × 314,768.52
  4. Step 4: Simplify right side
    435,820.68x = 189,147,305,833.75
  5. Step 5: Solve for x
    x = 189,147,305,833.75/435,820.68
  6. Step 6: Final answer
    x = 434,002.59

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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.