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Finding the Fourth Proportional to 403,715.98, 605,698.54 and 151,022

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Solution

The fourth proportional to 403,715.98, 605,698.54 and 151,022 is: 226,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,715.98 : 605,698.54 = 151,022 : x
  2. Step 2: Convert to fraction form
    403,715.98/605,698.54 = 151,022/x
  3. Step 3: Cross multiply
    403,715.98x = 605,698.54 × 151,022
  4. Step 4: Simplify right side
    403,715.98x = 91,473,804,907.88
  5. Step 5: Solve for x
    x = 91,473,804,907.88/403,715.98
  6. Step 6: Final answer
    x = 226,579.60

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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.