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Finding the Fourth Proportional to 401,102.94, 601,642.08 and 164,267.25

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Solution

The fourth proportional to 401,102.94, 601,642.08 and 164,267.25 is: 246,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,102.94 : 601,642.08 = 164,267.25 : x
  2. Step 2: Convert to fraction form
    401,102.94/601,642.08 = 164,267.25/x
  3. Step 3: Cross multiply
    401,102.94x = 601,642.08 × 164,267.25
  4. Step 4: Simplify right side
    401,102.94x = 98,830,089,965.88
  5. Step 5: Solve for x
    x = 98,830,089,965.88/401,102.94
  6. Step 6: Final answer
    x = 246,395.83

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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.