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Finding the Fourth Proportional to 275,707.02, 380,429.91 and 162,514.38

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Solution

The fourth proportional to 275,707.02, 380,429.91 and 162,514.38 is: 224,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,707.02 : 380,429.91 = 162,514.38 : x
  2. Step 2: Convert to fraction form
    275,707.02/380,429.91 = 162,514.38/x
  3. Step 3: Cross multiply
    275,707.02x = 380,429.91 × 162,514.38
  4. Step 4: Simplify right side
    275,707.02x = 61,825,330,957.11
  5. Step 5: Solve for x
    x = 61,825,330,957.11/275,707.02
  6. Step 6: Final answer
    x = 224,242.86

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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.