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Finding the Fourth Proportional to 401,072.45, 601,602.26 and 97,469.06

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Solution

The fourth proportional to 401,072.45, 601,602.26 and 97,469.06 is: 146,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,072.45 : 601,602.26 = 97,469.06 : x
  2. Step 2: Convert to fraction form
    401,072.45/601,602.26 = 97,469.06/x
  3. Step 3: Cross multiply
    401,072.45x = 601,602.26 × 97,469.06
  4. Step 4: Simplify right side
    401,072.45x = 58,637,603,280.72
  5. Step 5: Solve for x
    x = 58,637,603,280.72/401,072.45
  6. Step 6: Final answer
    x = 146,202.02

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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.