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Finding the Fourth Proportional to 429,151.82, 592,005.78 and 254,620.44

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Solution

The fourth proportional to 429,151.82, 592,005.78 and 254,620.44 is: 351,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,151.82 : 592,005.78 = 254,620.44 : x
  2. Step 2: Convert to fraction form
    429,151.82/592,005.78 = 254,620.44/x
  3. Step 3: Cross multiply
    429,151.82x = 592,005.78 × 254,620.44
  4. Step 4: Simplify right side
    429,151.82x = 150,736,772,186.14
  5. Step 5: Solve for x
    x = 150,736,772,186.14/429,151.82
  6. Step 6: Final answer
    x = 351,243.47

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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.