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Finding the Fourth Proportional to 296,397.54, 409,028.61 and 162,261.54

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Solution

The fourth proportional to 296,397.54, 409,028.61 and 162,261.54 is: 223,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,397.54 : 409,028.61 = 162,261.54 : x
  2. Step 2: Convert to fraction form
    296,397.54/409,028.61 = 162,261.54/x
  3. Step 3: Cross multiply
    296,397.54x = 409,028.61 × 162,261.54
  4. Step 4: Simplify right side
    296,397.54x = 66,369,612,162.66
  5. Step 5: Solve for x
    x = 66,369,612,162.66/296,397.54
  6. Step 6: Final answer
    x = 223,920.93

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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.