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Finding the Fourth Proportional to 403,002, 556,142.74 and 221,710.03

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Solution

The fourth proportional to 403,002, 556,142.74 and 221,710.03 is: 305,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,002 : 556,142.74 = 221,710.03 : x
  2. Step 2: Convert to fraction form
    403,002/556,142.74 = 221,710.03/x
  3. Step 3: Cross multiply
    403,002x = 556,142.74 × 221,710.03
  4. Step 4: Simplify right side
    403,002x = 123,302,423,569.68
  5. Step 5: Solve for x
    x = 123,302,423,569.68/403,002
  6. Step 6: Final answer
    x = 305,959.83

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