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Finding the Fourth Proportional to 289,040.08, 433,605.12 and 170,796.64

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Solution

The fourth proportional to 289,040.08, 433,605.12 and 170,796.64 is: 256,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040.08 : 433,605.12 = 170,796.64 : x
  2. Step 2: Convert to fraction form
    289,040.08/433,605.12 = 170,796.64/x
  3. Step 3: Cross multiply
    289,040.08x = 433,605.12 × 170,796.64
  4. Step 4: Simplify right side
    289,040.08x = 74,058,297,582.80
  5. Step 5: Solve for x
    x = 74,058,297,582.80/289,040.08
  6. Step 6: Final answer
    x = 256,221.55

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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.