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Finding the Fourth Proportional to 401,802.92, 602,796.43 and 174,136.75

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Solution

The fourth proportional to 401,802.92, 602,796.43 and 174,136.75 is: 261,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,802.92 : 602,796.43 = 174,136.75 : x
  2. Step 2: Convert to fraction form
    401,802.92/602,796.43 = 174,136.75/x
  3. Step 3: Cross multiply
    401,802.92x = 602,796.43 × 174,136.75
  4. Step 4: Simplify right side
    401,802.92x = 104,969,011,231.80
  5. Step 5: Solve for x
    x = 104,969,011,231.80/401,802.92
  6. Step 6: Final answer
    x = 261,245.02

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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.