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Finding the Fourth Proportional to 292,262.30, 403,327.33 and 164,913.30

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Solution

The fourth proportional to 292,262.30, 403,327.33 and 164,913.30 is: 227,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,262.30 : 403,327.33 = 164,913.30 : x
  2. Step 2: Convert to fraction form
    292,262.30/403,327.33 = 164,913.30/x
  3. Step 3: Cross multiply
    292,262.30x = 403,327.33 × 164,913.30
  4. Step 4: Simplify right side
    292,262.30x = 66,514,040,970.49
  5. Step 5: Solve for x
    x = 66,514,040,970.49/292,262.30
  6. Step 6: Final answer
    x = 227,583.38

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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.