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Finding the Fourth Proportional to 466,395.27, 643,713.60 and 292,046.43

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Solution

The fourth proportional to 466,395.27, 643,713.60 and 292,046.43 is: 403,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,395.27 : 643,713.60 = 292,046.43 : x
  2. Step 2: Convert to fraction form
    466,395.27/643,713.60 = 292,046.43/x
  3. Step 3: Cross multiply
    466,395.27x = 643,713.60 × 292,046.43
  4. Step 4: Simplify right side
    466,395.27x = 187,994,258,822.45
  5. Step 5: Solve for x
    x = 187,994,258,822.45/466,395.27
  6. Step 6: Final answer
    x = 403,079.26

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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.