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Finding the Fourth Proportional to 374,142.90, 516,297.90 and 204,344.22

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Solution

The fourth proportional to 374,142.90, 516,297.90 and 204,344.22 is: 281,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,142.90 : 516,297.90 = 204,344.22 : x
  2. Step 2: Convert to fraction form
    374,142.90/516,297.90 = 204,344.22/x
  3. Step 3: Cross multiply
    374,142.90x = 516,297.90 × 204,344.22
  4. Step 4: Simplify right side
    374,142.90x = 105,502,491,663.14
  5. Step 5: Solve for x
    x = 105,502,491,663.14/374,142.90
  6. Step 6: Final answer
    x = 281,984.48

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1.5x scale

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.