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Finding the Fourth Proportional to 397,229.90, 595,326.45 and 183,973.10

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Solution

The fourth proportional to 397,229.90, 595,326.45 and 183,973.10 is: 275,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,229.90 : 595,326.45 = 183,973.10 : x
  2. Step 2: Convert to fraction form
    397,229.90/595,326.45 = 183,973.10/x
  3. Step 3: Cross multiply
    397,229.90x = 595,326.45 × 183,973.10
  4. Step 4: Simplify right side
    397,229.90x = 109,524,052,518.50
  5. Step 5: Solve for x
    x = 109,524,052,518.50/397,229.90
  6. Step 6: Final answer
    x = 275,719.56

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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.