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Finding the Fourth Proportional to 403,774.84, 605,767.40 and 151,075.09

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Solution

The fourth proportional to 403,774.84, 605,767.40 and 151,075.09 is: 226,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,774.84 : 605,767.40 = 151,075.09 : x
  2. Step 2: Convert to fraction form
    403,774.84/605,767.40 = 151,075.09/x
  3. Step 3: Cross multiply
    403,774.84x = 605,767.40 × 151,075.09
  4. Step 4: Simplify right side
    403,774.84x = 91,516,365,042.43
  5. Step 5: Solve for x
    x = 91,516,365,042.43/403,774.84
  6. Step 6: Final answer
    x = 226,651.97

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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.