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Finding the Fourth Proportional to 476,286.12, 657,283.34 and 261,446.18

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Solution

The fourth proportional to 476,286.12, 657,283.34 and 261,446.18 is: 360,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,286.12 : 657,283.34 = 261,446.18 : x
  2. Step 2: Convert to fraction form
    476,286.12/657,283.34 = 261,446.18/x
  3. Step 3: Cross multiply
    476,286.12x = 657,283.34 × 261,446.18
  4. Step 4: Simplify right side
    476,286.12x = 171,844,218,420.64
  5. Step 5: Solve for x
    x = 171,844,218,420.64/476,286.12
  6. Step 6: Final answer
    x = 360,800.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.