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Finding the Fourth Proportional to 296,531.90, 409,243.34 and 169,226.63

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Solution

The fourth proportional to 296,531.90, 409,243.34 and 169,226.63 is: 233,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,531.90 : 409,243.34 = 169,226.63 : x
  2. Step 2: Convert to fraction form
    296,531.90/409,243.34 = 169,226.63/x
  3. Step 3: Cross multiply
    296,531.90x = 409,243.34 × 169,226.63
  4. Step 4: Simplify right side
    296,531.90x = 69,254,871,455.12
  5. Step 5: Solve for x
    x = 69,254,871,455.12/296,531.90
  6. Step 6: Final answer
    x = 233,549.48

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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.