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Finding the Fourth Proportional to 527,525.65, 727,984.42 and 285,814.36

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Solution

The fourth proportional to 527,525.65, 727,984.42 and 285,814.36 is: 394,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,525.65 : 727,984.42 = 285,814.36 : x
  2. Step 2: Convert to fraction form
    527,525.65/727,984.42 = 285,814.36/x
  3. Step 3: Cross multiply
    527,525.65x = 727,984.42 × 285,814.36
  4. Step 4: Simplify right side
    527,525.65x = 208,068,401,092.27
  5. Step 5: Solve for x
    x = 208,068,401,092.27/527,525.65
  6. Step 6: Final answer
    x = 394,423.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.