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Finding the Fourth Proportional to 527,557.89, 728,027.40 and 285,840.39

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Solution

The fourth proportional to 527,557.89, 728,027.40 and 285,840.39 is: 394,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,557.89 : 728,027.40 = 285,840.39 : x
  2. Step 2: Convert to fraction form
    527,557.89/728,027.40 = 285,840.39/x
  3. Step 3: Cross multiply
    527,557.89x = 728,027.40 × 285,840.39
  4. Step 4: Simplify right side
    527,557.89x = 208,099,635,946.69
  5. Step 5: Solve for x
    x = 208,099,635,946.69/527,557.89
  6. Step 6: Final answer
    x = 394,458.39

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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.