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Finding the Fourth Proportional to 374,256.78, 516,468.30 and 204,487.26

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Solution

The fourth proportional to 374,256.78, 516,468.30 and 204,487.26 is: 282,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,256.78 : 516,468.30 = 204,487.26 : x
  2. Step 2: Convert to fraction form
    374,256.78/516,468.30 = 204,487.26/x
  3. Step 3: Cross multiply
    374,256.78x = 516,468.30 × 204,487.26
  4. Step 4: Simplify right side
    374,256.78x = 105,611,187,543.86
  5. Step 5: Solve for x
    x = 105,611,187,543.86/374,256.78
  6. Step 6: Final answer
    x = 282,189.11

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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.