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Finding the Fourth Proportional to 429,551.78, 592,846.09 and 309,091.82

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Solution

The fourth proportional to 429,551.78, 592,846.09 and 309,091.82 is: 426,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,551.78 : 592,846.09 = 309,091.82 : x
  2. Step 2: Convert to fraction form
    429,551.78/592,846.09 = 309,091.82/x
  3. Step 3: Cross multiply
    429,551.78x = 592,846.09 × 309,091.82
  4. Step 4: Simplify right side
    429,551.78x = 183,243,873,201.02
  5. Step 5: Solve for x
    x = 183,243,873,201.02/429,551.78
  6. Step 6: Final answer
    x = 426,593.22

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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.