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Finding the Fourth Proportional to 292,456.32, 403,589.76 and 165,140.16

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Solution

The fourth proportional to 292,456.32, 403,589.76 and 165,140.16 is: 227,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,456.32 : 403,589.76 = 165,140.16 : x
  2. Step 2: Convert to fraction form
    292,456.32/403,589.76 = 165,140.16/x
  3. Step 3: Cross multiply
    292,456.32x = 403,589.76 × 165,140.16
  4. Step 4: Simplify right side
    292,456.32x = 66,648,877,540.76
  5. Step 5: Solve for x
    x = 66,648,877,540.76/292,456.32
  6. Step 6: Final answer
    x = 227,893.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.