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Finding the Fourth Proportional to 401,172.35, 601,743.94 and 161,360.51

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Solution

The fourth proportional to 401,172.35, 601,743.94 and 161,360.51 is: 242,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,172.35 : 601,743.94 = 161,360.51 : x
  2. Step 2: Convert to fraction form
    401,172.35/601,743.94 = 161,360.51/x
  3. Step 3: Cross multiply
    401,172.35x = 601,743.94 × 161,360.51
  4. Step 4: Simplify right side
    401,172.35x = 97,097,705,635.69
  5. Step 5: Solve for x
    x = 97,097,705,635.69/401,172.35
  6. Step 6: Final answer
    x = 242,034.89

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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.