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Finding the Fourth Proportional to 292,725.23, 403,955.55 and 165,398.09

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Solution

The fourth proportional to 292,725.23, 403,955.55 and 165,398.09 is: 228,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,725.23 : 403,955.55 = 165,398.09 : x
  2. Step 2: Convert to fraction form
    292,725.23/403,955.55 = 165,398.09/x
  3. Step 3: Cross multiply
    292,725.23x = 403,955.55 × 165,398.09
  4. Step 4: Simplify right side
    292,725.23x = 66,813,474,395.12
  5. Step 5: Solve for x
    x = 66,813,474,395.12/292,725.23
  6. Step 6: Final answer
    x = 228,246.38

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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.