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Finding the Fourth Proportional to 289,839.24, 400,001.32 and 160,790.44

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Solution

The fourth proportional to 289,839.24, 400,001.32 and 160,790.44 is: 221,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,839.24 : 400,001.32 = 160,790.44 : x
  2. Step 2: Convert to fraction form
    289,839.24/400,001.32 = 160,790.44/x
  3. Step 3: Cross multiply
    289,839.24x = 400,001.32 × 160,790.44
  4. Step 4: Simplify right side
    289,839.24x = 64,316,388,243.38
  5. Step 5: Solve for x
    x = 64,316,388,243.38/289,839.24
  6. Step 6: Final answer
    x = 221,903.66

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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.