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Finding the Fourth Proportional to 296,821.52, 409,666.32 and 225,080.60

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Solution

The fourth proportional to 296,821.52, 409,666.32 and 225,080.60 is: 310,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,821.52 : 409,666.32 = 225,080.60 : x
  2. Step 2: Convert to fraction form
    296,821.52/409,666.32 = 225,080.60/x
  3. Step 3: Cross multiply
    296,821.52x = 409,666.32 × 225,080.60
  4. Step 4: Simplify right side
    296,821.52x = 92,207,941,105.39
  5. Step 5: Solve for x
    x = 92,207,941,105.39/296,821.52
  6. Step 6: Final answer
    x = 310,651.13

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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.