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Finding the Fourth Proportional to 403,711.98, 605,692.54 and 151,018

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Solution

The fourth proportional to 403,711.98, 605,692.54 and 151,018 is: 226,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,711.98 : 605,692.54 = 151,018 : x
  2. Step 2: Convert to fraction form
    403,711.98/605,692.54 = 151,018/x
  3. Step 3: Cross multiply
    403,711.98x = 605,692.54 × 151,018
  4. Step 4: Simplify right side
    403,711.98x = 91,470,476,005.72
  5. Step 5: Solve for x
    x = 91,470,476,005.72/403,711.98
  6. Step 6: Final answer
    x = 226,573.60

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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.