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Finding the Fourth Proportional to 214,802.70, 322,548.30 and 170,795.40

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Solution

The fourth proportional to 214,802.70, 322,548.30 and 170,795.40 is: 256,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802.70 : 322,548.30 = 170,795.40 : x
  2. Step 2: Convert to fraction form
    214,802.70/322,548.30 = 170,795.40/x
  3. Step 3: Cross multiply
    214,802.70x = 322,548.30 × 170,795.40
  4. Step 4: Simplify right side
    214,802.70x = 55,089,765,917.82
  5. Step 5: Solve for x
    x = 55,089,765,917.82/214,802.70
  6. Step 6: Final answer
    x = 256,466.82

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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.