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Finding the Fourth Proportional to 296,531.15, 409,242.30 and 169,225.88

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Solution

The fourth proportional to 296,531.15, 409,242.30 and 169,225.88 is: 233,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,531.15 : 409,242.30 = 169,225.88 : x
  2. Step 2: Convert to fraction form
    296,531.15/409,242.30 = 169,225.88/x
  3. Step 3: Cross multiply
    296,531.15x = 409,242.30 × 169,225.88
  4. Step 4: Simplify right side
    296,531.15x = 69,254,389,373.83
  5. Step 5: Solve for x
    x = 69,254,389,373.83/296,531.15
  6. Step 6: Final answer
    x = 233,548.44

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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.