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Finding the Fourth Proportional to 323,266.58, 446,075.93 and 180,039.95

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Solution

The fourth proportional to 323,266.58, 446,075.93 and 180,039.95 is: 248,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,266.58 : 446,075.93 = 180,039.95 : x
  2. Step 2: Convert to fraction form
    323,266.58/446,075.93 = 180,039.95/x
  3. Step 3: Cross multiply
    323,266.58x = 446,075.93 × 180,039.95
  4. Step 4: Simplify right side
    323,266.58x = 80,311,485,002.82
  5. Step 5: Solve for x
    x = 80,311,485,002.82/323,266.58
  6. Step 6: Final answer
    x = 248,437.33

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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.