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Finding the Fourth Proportional to 413,548.80, 620,906.40 and 256,084.80

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Solution

The fourth proportional to 413,548.80, 620,906.40 and 256,084.80 is: 384,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,548.80 : 620,906.40 = 256,084.80 : x
  2. Step 2: Convert to fraction form
    413,548.80/620,906.40 = 256,084.80/x
  3. Step 3: Cross multiply
    413,548.80x = 620,906.40 × 256,084.80
  4. Step 4: Simplify right side
    413,548.80x = 159,004,691,262.72
  5. Step 5: Solve for x
    x = 159,004,691,262.72/413,548.80
  6. Step 6: Final answer
    x = 384,488.34

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1.5x scale

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.