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Finding the Fourth Proportional to 355,586.31, 490,668.80 and 210,396.55

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Solution

The fourth proportional to 355,586.31, 490,668.80 and 210,396.55 is: 290,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,586.31 : 490,668.80 = 210,396.55 : x
  2. Step 2: Convert to fraction form
    355,586.31/490,668.80 = 210,396.55/x
  3. Step 3: Cross multiply
    355,586.31x = 490,668.80 × 210,396.55
  4. Step 4: Simplify right side
    355,586.31x = 103,235,022,712.64
  5. Step 5: Solve for x
    x = 103,235,022,712.64/355,586.31
  6. Step 6: Final answer
    x = 290,323.39

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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.