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Finding the Fourth Proportional to 292,727.64, 403,972.14 and 165,400.68

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Solution

The fourth proportional to 292,727.64, 403,972.14 and 165,400.68 is: 228,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,727.64 : 403,972.14 = 165,400.68 : x
  2. Step 2: Convert to fraction form
    292,727.64/403,972.14 = 165,400.68/x
  3. Step 3: Cross multiply
    292,727.64x = 403,972.14 × 165,400.68
  4. Step 4: Simplify right side
    292,727.64x = 66,817,266,657.06
  5. Step 5: Solve for x
    x = 66,817,266,657.06/292,727.64
  6. Step 6: Final answer
    x = 228,257.46

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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.