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Finding the Fourth Proportional to 296,696.64, 409,224.48 and 216,148.80

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Solution

The fourth proportional to 296,696.64, 409,224.48 and 216,148.80 is: 298,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,696.64 : 409,224.48 = 216,148.80 : x
  2. Step 2: Convert to fraction form
    296,696.64/409,224.48 = 216,148.80/x
  3. Step 3: Cross multiply
    296,696.64x = 409,224.48 × 216,148.80
  4. Step 4: Simplify right side
    296,696.64x = 88,453,380,282.62
  5. Step 5: Solve for x
    x = 88,453,380,282.62/296,696.64
  6. Step 6: Final answer
    x = 298,127.34

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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.