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Finding the Fourth Proportional to 333,075, 459,643.50 and 182,172

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Solution

The fourth proportional to 333,075, 459,643.50 and 182,172 is: 251,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,075 : 459,643.50 = 182,172 : x
  2. Step 2: Convert to fraction form
    333,075/459,643.50 = 182,172/x
  3. Step 3: Cross multiply
    333,075x = 459,643.50 × 182,172
  4. Step 4: Simplify right side
    333,075x = 83,734,175,682
  5. Step 5: Solve for x
    x = 83,734,175,682/333,075
  6. Step 6: Final answer
    x = 251,397.36

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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.