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Finding the Fourth Proportional to 611,930.90, 918,224.40 and 256,980.80

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Solution

The fourth proportional to 611,930.90, 918,224.40 and 256,980.80 is: 385,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,930.90 : 918,224.40 = 256,980.80 : x
  2. Step 2: Convert to fraction form
    611,930.90/918,224.40 = 256,980.80/x
  3. Step 3: Cross multiply
    611,930.90x = 918,224.40 × 256,980.80
  4. Step 4: Simplify right side
    611,930.90x = 235,966,040,891.52
  5. Step 5: Solve for x
    x = 235,966,040,891.52/611,930.90
  6. Step 6: Final answer
    x = 385,608.96

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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.