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Finding the Fourth Proportional to 296,753.34, 409,539.71 and 167,647.04

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Solution

The fourth proportional to 296,753.34, 409,539.71 and 167,647.04 is: 231,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.34 : 409,539.71 = 167,647.04 : x
  2. Step 2: Convert to fraction form
    296,753.34/409,539.71 = 167,647.04/x
  3. Step 3: Cross multiply
    296,753.34x = 409,539.71 × 167,647.04
  4. Step 4: Simplify right side
    296,753.34x = 68,658,117,258.02
  5. Step 5: Solve for x
    x = 68,658,117,258.02/296,753.34
  6. Step 6: Final answer
    x = 231,364.26

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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.