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Finding the Fourth Proportional to 411,586.80, 617,034.60 and 214,594.80

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Solution

The fourth proportional to 411,586.80, 617,034.60 and 214,594.80 is: 321,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,586.80 : 617,034.60 = 214,594.80 : x
  2. Step 2: Convert to fraction form
    411,586.80/617,034.60 = 214,594.80/x
  3. Step 3: Cross multiply
    411,586.80x = 617,034.60 × 214,594.80
  4. Step 4: Simplify right side
    411,586.80x = 132,412,416,580.08
  5. Step 5: Solve for x
    x = 132,412,416,580.08/411,586.80
  6. Step 6: Final answer
    x = 321,712.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.