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Finding the Fourth Proportional to 299,379.52, 413,082.07 and 172,030.51

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Solution

The fourth proportional to 299,379.52, 413,082.07 and 172,030.51 is: 237,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,379.52 : 413,082.07 = 172,030.51 : x
  2. Step 2: Convert to fraction form
    299,379.52/413,082.07 = 172,030.51/x
  3. Step 3: Cross multiply
    299,379.52x = 413,082.07 × 172,030.51
  4. Step 4: Simplify right side
    299,379.52x = 71,062,719,173.96
  5. Step 5: Solve for x
    x = 71,062,719,173.96/299,379.52
  6. Step 6: Final answer
    x = 237,366.67

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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.