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Finding the Fourth Proportional to 292,266.80, 403,333.52 and 164,917.80

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Solution

The fourth proportional to 292,266.80, 403,333.52 and 164,917.80 is: 227,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,266.80 : 403,333.52 = 164,917.80 : x
  2. Step 2: Convert to fraction form
    292,266.80/403,333.52 = 164,917.80/x
  3. Step 3: Cross multiply
    292,266.80x = 403,333.52 × 164,917.80
  4. Step 4: Simplify right side
    292,266.80x = 66,516,876,784.66
  5. Step 5: Solve for x
    x = 66,516,876,784.66/292,266.80
  6. Step 6: Final answer
    x = 227,589.57

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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.