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Finding the Fourth Proportional to 401,254.55, 601,914.66 and 164,599.28

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Solution

The fourth proportional to 401,254.55, 601,914.66 and 164,599.28 is: 246,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,254.55 : 601,914.66 = 164,599.28 : x
  2. Step 2: Convert to fraction form
    401,254.55/601,914.66 = 164,599.28/x
  3. Step 3: Cross multiply
    401,254.55x = 601,914.66 × 164,599.28
  4. Step 4: Simplify right side
    401,254.55x = 99,074,719,657.44
  5. Step 5: Solve for x
    x = 99,074,719,657.44/401,254.55
  6. Step 6: Final answer
    x = 246,912.39

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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.