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Finding the Fourth Proportional to 527,615.76, 728,109.74 and 285,896.36

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Solution

The fourth proportional to 527,615.76, 728,109.74 and 285,896.36 is: 394,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,615.76 : 728,109.74 = 285,896.36 : x
  2. Step 2: Convert to fraction form
    527,615.76/728,109.74 = 285,896.36/x
  3. Step 3: Cross multiply
    527,615.76x = 728,109.74 × 285,896.36
  4. Step 4: Simplify right side
    527,615.76x = 208,163,924,346.55
  5. Step 5: Solve for x
    x = 208,163,924,346.55/527,615.76
  6. Step 6: Final answer
    x = 394,536.97

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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.