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Finding the Fourth Proportional to 505,829.49, 758,794.69 and 146,009.07

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Solution

The fourth proportional to 505,829.49, 758,794.69 and 146,009.07 is: 219,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,829.49 : 758,794.69 = 146,009.07 : x
  2. Step 2: Convert to fraction form
    505,829.49/758,794.69 = 146,009.07/x
  3. Step 3: Cross multiply
    505,829.49x = 758,794.69 × 146,009.07
  4. Step 4: Simplify right side
    505,829.49x = 110,790,910,103.74
  5. Step 5: Solve for x
    x = 110,790,910,103.74/505,829.49
  6. Step 6: Final answer
    x = 219,028.17

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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.