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Finding the Fourth Proportional to 503,273.12, 694,288.06 and 299,208.26

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Solution

The fourth proportional to 503,273.12, 694,288.06 and 299,208.26 is: 412,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,273.12 : 694,288.06 = 299,208.26 : x
  2. Step 2: Convert to fraction form
    503,273.12/694,288.06 = 299,208.26/x
  3. Step 3: Cross multiply
    503,273.12x = 694,288.06 × 299,208.26
  4. Step 4: Simplify right side
    503,273.12x = 207,736,723,359.08
  5. Step 5: Solve for x
    x = 207,736,723,359.08/503,273.12
  6. Step 6: Final answer
    x = 412,771.35

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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.