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Finding the Fourth Proportional to 509,397.86, 702,940.44 and 305,346.66

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Solution

The fourth proportional to 509,397.86, 702,940.44 and 305,346.66 is: 421,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,397.86 : 702,940.44 = 305,346.66 : x
  2. Step 2: Convert to fraction form
    509,397.86/702,940.44 = 305,346.66/x
  3. Step 3: Cross multiply
    509,397.86x = 702,940.44 × 305,346.66
  4. Step 4: Simplify right side
    509,397.86x = 214,640,515,532.93
  5. Step 5: Solve for x
    x = 214,640,515,532.93/509,397.86
  6. Step 6: Final answer
    x = 421,361.24

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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.