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Finding the Fourth Proportional to 292,415.32, 403,510.62 and 165,103.48

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Solution

The fourth proportional to 292,415.32, 403,510.62 and 165,103.48 is: 227,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415.32 : 403,510.62 = 165,103.48 : x
  2. Step 2: Convert to fraction form
    292,415.32/403,510.62 = 165,103.48/x
  3. Step 3: Cross multiply
    292,415.32x = 403,510.62 × 165,103.48
  4. Step 4: Simplify right side
    292,415.32x = 66,621,007,578.96
  5. Step 5: Solve for x
    x = 66,621,007,578.96/292,415.32
  6. Step 6: Final answer
    x = 227,830.09

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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.