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Finding the Fourth Proportional to 378,683.64, 522,586.62 and 208,929.24

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Solution

The fourth proportional to 378,683.64, 522,586.62 and 208,929.24 is: 288,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,683.64 : 522,586.62 = 208,929.24 : x
  2. Step 2: Convert to fraction form
    378,683.64/522,586.62 = 208,929.24/x
  3. Step 3: Cross multiply
    378,683.64x = 522,586.62 × 208,929.24
  4. Step 4: Simplify right side
    378,683.64x = 109,183,625,350.77
  5. Step 5: Solve for x
    x = 109,183,625,350.77/378,683.64
  6. Step 6: Final answer
    x = 288,324.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.