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Finding the Fourth Proportional to 369,207.66, 509,676.66 and 216,224.58

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Solution

The fourth proportional to 369,207.66, 509,676.66 and 216,224.58 is: 298,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,207.66 : 509,676.66 = 216,224.58 : x
  2. Step 2: Convert to fraction form
    369,207.66/509,676.66 = 216,224.58/x
  3. Step 3: Cross multiply
    369,207.66x = 509,676.66 × 216,224.58
  4. Step 4: Simplify right side
    369,207.66x = 110,204,621,744.30
  5. Step 5: Solve for x
    x = 110,204,621,744.30/369,207.66
  6. Step 6: Final answer
    x = 298,489.53

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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.