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Finding the Fourth Proportional to 289,833.24, 399,993.04 and 160,784.44

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Solution

The fourth proportional to 289,833.24, 399,993.04 and 160,784.44 is: 221,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,833.24 : 399,993.04 = 160,784.44 : x
  2. Step 2: Convert to fraction form
    289,833.24/399,993.04 = 160,784.44/x
  3. Step 3: Cross multiply
    289,833.24x = 399,993.04 × 160,784.44
  4. Step 4: Simplify right side
    289,833.24x = 64,312,656,940.30
  5. Step 5: Solve for x
    x = 64,312,656,940.30/289,833.24
  6. Step 6: Final answer
    x = 221,895.38

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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.