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Finding the Fourth Proportional to 292,396.32, 403,484.40 and 165,084.48

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Solution

The fourth proportional to 292,396.32, 403,484.40 and 165,084.48 is: 227,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,396.32 : 403,484.40 = 165,084.48 : x
  2. Step 2: Convert to fraction form
    292,396.32/403,484.40 = 165,084.48/x
  3. Step 3: Cross multiply
    292,396.32x = 403,484.40 × 165,084.48
  4. Step 4: Simplify right side
    292,396.32x = 66,609,012,362.11
  5. Step 5: Solve for x
    x = 66,609,012,362.11/292,396.32
  6. Step 6: Final answer
    x = 227,803.87

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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.