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Finding the Fourth Proportional to 401,055.42, 601,601.60 and 164,232.04

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Solution

The fourth proportional to 401,055.42, 601,601.60 and 164,232.04 is: 246,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,055.42 : 601,601.60 = 164,232.04 : x
  2. Step 2: Convert to fraction form
    401,055.42/601,601.60 = 164,232.04/x
  3. Step 3: Cross multiply
    401,055.42x = 601,601.60 × 164,232.04
  4. Step 4: Simplify right side
    401,055.42x = 98,802,258,035.26
  5. Step 5: Solve for x
    x = 98,802,258,035.26/401,055.42
  6. Step 6: Final answer
    x = 246,355.62

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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.