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Finding the Fourth Proportional to 407,048.14, 610,700.97 and 182,601.10

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Solution

The fourth proportional to 407,048.14, 610,700.97 and 182,601.10 is: 273,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,048.14 : 610,700.97 = 182,601.10 : x
  2. Step 2: Convert to fraction form
    407,048.14/610,700.97 = 182,601.10/x
  3. Step 3: Cross multiply
    407,048.14x = 610,700.97 × 182,601.10
  4. Step 4: Simplify right side
    407,048.14x = 111,514,668,893.07
  5. Step 5: Solve for x
    x = 111,514,668,893.07/407,048.14
  6. Step 6: Final answer
    x = 273,959.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.