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Finding the Fourth Proportional to 537,151.80, 804,561.30 and 327,199.80

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Solution

The fourth proportional to 537,151.80, 804,561.30 and 327,199.80 is: 490,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,151.80 : 804,561.30 = 327,199.80 : x
  2. Step 2: Convert to fraction form
    537,151.80/804,561.30 = 327,199.80/x
  3. Step 3: Cross multiply
    537,151.80x = 804,561.30 × 327,199.80
  4. Step 4: Simplify right side
    537,151.80x = 263,252,296,447.74
  5. Step 5: Solve for x
    x = 263,252,296,447.74/537,151.80
  6. Step 6: Final answer
    x = 490,089.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.