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Finding the Fourth Proportional to 296,496.14, 409,159.69 and 160,528.99

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Solution

The fourth proportional to 296,496.14, 409,159.69 and 160,528.99 is: 221,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,496.14 : 409,159.69 = 160,528.99 : x
  2. Step 2: Convert to fraction form
    296,496.14/409,159.69 = 160,528.99/x
  3. Step 3: Cross multiply
    296,496.14x = 409,159.69 × 160,528.99
  4. Step 4: Simplify right side
    296,496.14x = 65,681,991,784.41
  5. Step 5: Solve for x
    x = 65,681,991,784.41/296,496.14
  6. Step 6: Final answer
    x = 221,527.31

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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.