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Finding the Fourth Proportional to 254,605.70, 382,316.55 and 202,448.90

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Solution

The fourth proportional to 254,605.70, 382,316.55 and 202,448.90 is: 303,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,605.70 : 382,316.55 = 202,448.90 : x
  2. Step 2: Convert to fraction form
    254,605.70/382,316.55 = 202,448.90/x
  3. Step 3: Cross multiply
    254,605.70x = 382,316.55 × 202,448.90
  4. Step 4: Simplify right side
    254,605.70x = 77,399,564,999.30
  5. Step 5: Solve for x
    x = 77,399,564,999.30/254,605.70
  6. Step 6: Final answer
    x = 303,997.77

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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.