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Finding the Fourth Proportional to 401,435.73, 601,628.72 and 164,501.01

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Solution

The fourth proportional to 401,435.73, 601,628.72 and 164,501.01 is: 246,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,435.73 : 601,628.72 = 164,501.01 : x
  2. Step 2: Convert to fraction form
    401,435.73/601,628.72 = 164,501.01/x
  3. Step 3: Cross multiply
    401,435.73x = 601,628.72 × 164,501.01
  4. Step 4: Simplify right side
    401,435.73x = 98,968,531,262.50
  5. Step 5: Solve for x
    x = 98,968,531,262.50/401,435.73
  6. Step 6: Final answer
    x = 246,536.43

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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.