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Finding the Fourth Proportional to 295,698, 408,063.60 and 161,562

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Solution

The fourth proportional to 295,698, 408,063.60 and 161,562 is: 222,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698 : 408,063.60 = 161,562 : x
  2. Step 2: Convert to fraction form
    295,698/408,063.60 = 161,562/x
  3. Step 3: Cross multiply
    295,698x = 408,063.60 × 161,562
  4. Step 4: Simplify right side
    295,698x = 65,927,571,343.20
  5. Step 5: Solve for x
    x = 65,927,571,343.20/295,698
  6. Step 6: Final answer
    x = 222,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.