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Finding the Fourth Proportional to 491,714.44, 737,266.33 and 207,258.64

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Solution

The fourth proportional to 491,714.44, 737,266.33 and 207,258.64 is: 310,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,714.44 : 737,266.33 = 207,258.64 : x
  2. Step 2: Convert to fraction form
    491,714.44/737,266.33 = 207,258.64/x
  3. Step 3: Cross multiply
    491,714.44x = 737,266.33 × 207,258.64
  4. Step 4: Simplify right side
    491,714.44x = 152,804,816,873.59
  5. Step 5: Solve for x
    x = 152,804,816,873.59/491,714.44
  6. Step 6: Final answer
    x = 310,759.26

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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.