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Finding the Fourth Proportional to 429,283.31, 592,493.42 and 284,092.03

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Solution

The fourth proportional to 429,283.31, 592,493.42 and 284,092.03 is: 392,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,283.31 : 592,493.42 = 284,092.03 : x
  2. Step 2: Convert to fraction form
    429,283.31/592,493.42 = 284,092.03/x
  3. Step 3: Cross multiply
    429,283.31x = 592,493.42 × 284,092.03
  4. Step 4: Simplify right side
    429,283.31x = 168,322,657,678.44
  5. Step 5: Solve for x
    x = 168,322,657,678.44/429,283.31
  6. Step 6: Final answer
    x = 392,101.56

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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.