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Finding the Fourth Proportional to 922,185, 1,383,369.75 and 282,481.34

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Solution

The fourth proportional to 922,185, 1,383,369.75 and 282,481.34 is: 423,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,185 : 1,383,369.75 = 282,481.34 : x
  2. Step 2: Convert to fraction form
    922,185/1,383,369.75 = 282,481.34/x
  3. Step 3: Cross multiply
    922,185x = 1,383,369.75 × 282,481.34
  4. Step 4: Simplify right side
    922,185x = 390,776,133,778.62
  5. Step 5: Solve for x
    x = 390,776,133,778.62/922,185
  6. Step 6: Final answer
    x = 423,750.26

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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.