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Finding the Fourth Proportional to 527,586.23, 728,069.64 and 285,868.61

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Solution

The fourth proportional to 527,586.23, 728,069.64 and 285,868.61 is: 394,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,586.23 : 728,069.64 = 285,868.61 : x
  2. Step 2: Convert to fraction form
    527,586.23/728,069.64 = 285,868.61/x
  3. Step 3: Cross multiply
    527,586.23x = 728,069.64 × 285,868.61
  4. Step 4: Simplify right side
    527,586.23x = 208,132,252,329.65
  5. Step 5: Solve for x
    x = 208,132,252,329.65/527,586.23
  6. Step 6: Final answer
    x = 394,499.03

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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.