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Finding the Fourth Proportional to 475,874.75, 713,999.04 and 209,448.49

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Solution

The fourth proportional to 475,874.75, 713,999.04 and 209,448.49 is: 314,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,874.75 : 713,999.04 = 209,448.49 : x
  2. Step 2: Convert to fraction form
    475,874.75/713,999.04 = 209,448.49/x
  3. Step 3: Cross multiply
    475,874.75x = 713,999.04 × 209,448.49
  4. Step 4: Simplify right side
    475,874.75x = 149,546,020,789.45
  5. Step 5: Solve for x
    x = 149,546,020,789.45/475,874.75
  6. Step 6: Final answer
    x = 314,255.00

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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.