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Finding the Fourth Proportional to 527,609.77, 728,100.29 and 285,898.88

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Solution

The fourth proportional to 527,609.77, 728,100.29 and 285,898.88 is: 394,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,609.77 : 728,100.29 = 285,898.88 : x
  2. Step 2: Convert to fraction form
    527,609.77/728,100.29 = 285,898.88/x
  3. Step 3: Cross multiply
    527,609.77x = 728,100.29 × 285,898.88
  4. Step 4: Simplify right side
    527,609.77x = 208,163,059,973.67
  5. Step 5: Solve for x
    x = 208,163,059,973.67/527,609.77
  6. Step 6: Final answer
    x = 394,539.81

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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.