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Finding the Fourth Proportional to 296,280, 408,867.21 and 162,144

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Solution

The fourth proportional to 296,280, 408,867.21 and 162,144 is: 223,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,280 : 408,867.21 = 162,144 : x
  2. Step 2: Convert to fraction form
    296,280/408,867.21 = 162,144/x
  3. Step 3: Cross multiply
    296,280x = 408,867.21 × 162,144
  4. Step 4: Simplify right side
    296,280x = 66,295,364,898.24
  5. Step 5: Solve for x
    x = 66,295,364,898.24/296,280
  6. Step 6: Final answer
    x = 223,759.16

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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.