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Finding the Fourth Proportional to 296,495.14, 409,158.31 and 160,527.99

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Solution

The fourth proportional to 296,495.14, 409,158.31 and 160,527.99 is: 221,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,495.14 : 409,158.31 = 160,527.99 : x
  2. Step 2: Convert to fraction form
    296,495.14/409,158.31 = 160,527.99/x
  3. Step 3: Cross multiply
    296,495.14x = 409,158.31 × 160,527.99
  4. Step 4: Simplify right side
    296,495.14x = 65,681,361,096.10
  5. Step 5: Solve for x
    x = 65,681,361,096.10/296,495.14
  6. Step 6: Final answer
    x = 221,525.93

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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.