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Finding the Fourth Proportional to 505,189.96, 758,119.59 and 277,644.47

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Solution

The fourth proportional to 505,189.96, 758,119.59 and 277,644.47 is: 416,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,189.96 : 758,119.59 = 277,644.47 : x
  2. Step 2: Convert to fraction form
    505,189.96/758,119.59 = 277,644.47/x
  3. Step 3: Cross multiply
    505,189.96x = 758,119.59 × 277,644.47
  4. Step 4: Simplify right side
    505,189.96x = 210,487,711,762.17
  5. Step 5: Solve for x
    x = 210,487,711,762.17/505,189.96
  6. Step 6: Final answer
    x = 416,650.63

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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.