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Finding the Fourth Proportional to 403,075, 556,244.04 and 224,227

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Solution

The fourth proportional to 403,075, 556,244.04 and 224,227 is: 309,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,075 : 556,244.04 = 224,227 : x
  2. Step 2: Convert to fraction form
    403,075/556,244.04 = 224,227/x
  3. Step 3: Cross multiply
    403,075x = 556,244.04 × 224,227
  4. Step 4: Simplify right side
    403,075x = 124,724,932,357.08
  5. Step 5: Solve for x
    x = 124,724,932,357.08/403,075
  6. Step 6: Final answer
    x = 309,433.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.