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Finding the Fourth Proportional to 505,414.98, 758,231.82 and 150,457.59

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Solution

The fourth proportional to 505,414.98, 758,231.82 and 150,457.59 is: 225,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,414.98 : 758,231.82 = 150,457.59 : x
  2. Step 2: Convert to fraction form
    505,414.98/758,231.82 = 150,457.59/x
  3. Step 3: Cross multiply
    505,414.98x = 758,231.82 × 150,457.59
  4. Step 4: Simplify right side
    505,414.98x = 114,081,732,298.51
  5. Step 5: Solve for x
    x = 114,081,732,298.51/505,414.98
  6. Step 6: Final answer
    x = 225,718.94

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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.