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Finding the Fourth Proportional to 429,198.72, 592,403.28 and 293,287.68

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Solution

The fourth proportional to 429,198.72, 592,403.28 and 293,287.68 is: 404,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,198.72 : 592,403.28 = 293,287.68 : x
  2. Step 2: Convert to fraction form
    429,198.72/592,403.28 = 293,287.68/x
  3. Step 3: Cross multiply
    429,198.72x = 592,403.28 × 293,287.68
  4. Step 4: Simplify right side
    429,198.72x = 173,744,583,615.59
  5. Step 5: Solve for x
    x = 173,744,583,615.59/429,198.72
  6. Step 6: Final answer
    x = 404,811.51

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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.