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Finding the Fourth Proportional to 411,014.40, 616,060.80 and 211,257.60

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Solution

The fourth proportional to 411,014.40, 616,060.80 and 211,257.60 is: 316,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,014.40 : 616,060.80 = 211,257.60 : x
  2. Step 2: Convert to fraction form
    411,014.40/616,060.80 = 211,257.60/x
  3. Step 3: Cross multiply
    411,014.40x = 616,060.80 × 211,257.60
  4. Step 4: Simplify right side
    411,014.40x = 130,147,526,062.08
  5. Step 5: Solve for x
    x = 130,147,526,062.08/411,014.40
  6. Step 6: Final answer
    x = 316,649.55

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