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Finding the Fourth Proportional to 429,670.28, 592,961.82 and 293,988.80

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Solution

The fourth proportional to 429,670.28, 592,961.82 and 293,988.80 is: 405,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,670.28 : 592,961.82 = 293,988.80 : x
  2. Step 2: Convert to fraction form
    429,670.28/592,961.82 = 293,988.80/x
  3. Step 3: Cross multiply
    429,670.28x = 592,961.82 × 293,988.80
  4. Step 4: Simplify right side
    429,670.28x = 174,324,134,287.56
  5. Step 5: Solve for x
    x = 174,324,134,287.56/429,670.28
  6. Step 6: Final answer
    x = 405,716.06

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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.