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Finding the Fourth Proportional to 289,001.14, 398,794.53 and 180,095.38

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Solution

The fourth proportional to 289,001.14, 398,794.53 and 180,095.38 is: 248,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,001.14 : 398,794.53 = 180,095.38 : x
  2. Step 2: Convert to fraction form
    289,001.14/398,794.53 = 180,095.38/x
  3. Step 3: Cross multiply
    289,001.14x = 398,794.53 × 180,095.38
  4. Step 4: Simplify right side
    289,001.14x = 71,821,052,422.27
  5. Step 5: Solve for x
    x = 71,821,052,422.27/289,001.14
  6. Step 6: Final answer
    x = 248,514.77

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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.