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Finding the Fourth Proportional to 292,722.98, 403,952.46 and 165,395.84

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Solution

The fourth proportional to 292,722.98, 403,952.46 and 165,395.84 is: 228,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,722.98 : 403,952.46 = 165,395.84 : x
  2. Step 2: Convert to fraction form
    292,722.98/403,952.46 = 165,395.84/x
  3. Step 3: Cross multiply
    292,722.98x = 403,952.46 × 165,395.84
  4. Step 4: Simplify right side
    292,722.98x = 66,812,054,422.00
  5. Step 5: Solve for x
    x = 66,812,054,422.00/292,722.98
  6. Step 6: Final answer
    x = 228,243.29

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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.