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Finding the Fourth Proportional to 500,222, 750,405.12 and 163,179.26

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Solution

The fourth proportional to 500,222, 750,405.12 and 163,179.26 is: 244,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,222 : 750,405.12 = 163,179.26 : x
  2. Step 2: Convert to fraction form
    500,222/750,405.12 = 163,179.26/x
  3. Step 3: Cross multiply
    500,222x = 750,405.12 × 163,179.26
  4. Step 4: Simplify right side
    500,222x = 122,450,552,181.81
  5. Step 5: Solve for x
    x = 122,450,552,181.81/500,222
  6. Step 6: Final answer
    x = 244,792.42

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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.