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Finding the Fourth Proportional to 321,043.80, 443,045 and 185,075.32

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Solution

The fourth proportional to 321,043.80, 443,045 and 185,075.32 is: 255,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,043.80 : 443,045 = 185,075.32 : x
  2. Step 2: Convert to fraction form
    321,043.80/443,045 = 185,075.32/x
  3. Step 3: Cross multiply
    321,043.80x = 443,045 × 185,075.32
  4. Step 4: Simplify right side
    321,043.80x = 81,996,695,149.40
  5. Step 5: Solve for x
    x = 81,996,695,149.40/321,043.80
  6. Step 6: Final answer
    x = 255,406.57

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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.