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Finding the Fourth Proportional to 505,574.74, 758,354.43 and 150,588.77

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Solution

The fourth proportional to 505,574.74, 758,354.43 and 150,588.77 is: 225,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,574.74 : 758,354.43 = 150,588.77 : x
  2. Step 2: Convert to fraction form
    505,574.74/758,354.43 = 150,588.77/x
  3. Step 3: Cross multiply
    505,574.74x = 758,354.43 × 150,588.77
  4. Step 4: Simplify right side
    505,574.74x = 114,199,660,605.84
  5. Step 5: Solve for x
    x = 114,199,660,605.84/505,574.74
  6. Step 6: Final answer
    x = 225,880.87

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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.