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Finding the Fourth Proportional to 476,886.48, 714,863.16 and 227,743.44

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Solution

The fourth proportional to 476,886.48, 714,863.16 and 227,743.44 is: 341,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,886.48 : 714,863.16 = 227,743.44 : x
  2. Step 2: Convert to fraction form
    476,886.48/714,863.16 = 227,743.44/x
  3. Step 3: Cross multiply
    476,886.48x = 714,863.16 × 227,743.44
  4. Step 4: Simplify right side
    476,886.48x = 162,805,395,187.67
  5. Step 5: Solve for x
    x = 162,805,395,187.67/476,886.48
  6. Step 6: Final answer
    x = 341,392.35

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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.