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Finding the Fourth Proportional to 505,828.74, 758,794.20 and 164,257.86

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Solution

The fourth proportional to 505,828.74, 758,794.20 and 164,257.86 is: 246,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,828.74 : 758,794.20 = 164,257.86 : x
  2. Step 2: Convert to fraction form
    505,828.74/758,794.20 = 164,257.86/x
  3. Step 3: Cross multiply
    505,828.74x = 758,794.20 × 164,257.86
  4. Step 4: Simplify right side
    505,828.74x = 124,637,911,472.41
  5. Step 5: Solve for x
    x = 124,637,911,472.41/505,828.74
  6. Step 6: Final answer
    x = 246,403.38

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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.