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Finding the Fourth Proportional to 299,204.72, 414,649.36 and 293,527.52

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Solution

The fourth proportional to 299,204.72, 414,649.36 and 293,527.52 is: 406,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204.72 : 414,649.36 = 293,527.52 : x
  2. Step 2: Convert to fraction form
    299,204.72/414,649.36 = 293,527.52/x
  3. Step 3: Cross multiply
    299,204.72x = 414,649.36 × 293,527.52
  4. Step 4: Simplify right side
    299,204.72x = 121,710,998,310.39
  5. Step 5: Solve for x
    x = 121,710,998,310.39/299,204.72
  6. Step 6: Final answer
    x = 406,781.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.