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Finding the Fourth Proportional to 401,051.80, 601,286.10 and 164,272.60

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Solution

The fourth proportional to 401,051.80, 601,286.10 and 164,272.60 is: 246,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,051.80 : 601,286.10 = 164,272.60 : x
  2. Step 2: Convert to fraction form
    401,051.80/601,286.10 = 164,272.60/x
  3. Step 3: Cross multiply
    401,051.80x = 601,286.10 × 164,272.60
  4. Step 4: Simplify right side
    401,051.80x = 98,774,830,990.86
  5. Step 5: Solve for x
    x = 98,774,830,990.86/401,051.80
  6. Step 6: Final answer
    x = 246,289.46

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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.