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Finding the Fourth Proportional to 611,046.08, 916,670.64 and 256,086.80

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Solution

The fourth proportional to 611,046.08, 916,670.64 and 256,086.80 is: 384,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,046.08 : 916,670.64 = 256,086.80 : x
  2. Step 2: Convert to fraction form
    611,046.08/916,670.64 = 256,086.80/x
  3. Step 3: Cross multiply
    611,046.08x = 916,670.64 × 256,086.80
  4. Step 4: Simplify right side
    611,046.08x = 234,747,250,851.55
  5. Step 5: Solve for x
    x = 234,747,250,851.55/611,046.08
  6. Step 6: Final answer
    x = 384,172.75

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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.