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Finding the Fourth Proportional to 527,566.98, 728,041.44 and 285,856.10

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Solution

The fourth proportional to 527,566.98, 728,041.44 and 285,856.10 is: 394,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,566.98 : 728,041.44 = 285,856.10 : x
  2. Step 2: Convert to fraction form
    527,566.98/728,041.44 = 285,856.10/x
  3. Step 3: Cross multiply
    527,566.98x = 728,041.44 × 285,856.10
  4. Step 4: Simplify right side
    527,566.98x = 208,115,086,676.78
  5. Step 5: Solve for x
    x = 208,115,086,676.78/527,566.98
  6. Step 6: Final answer
    x = 394,480.88

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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.