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Finding the Fourth Proportional to 537,148.80, 804,556.80 and 327,196.80

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Solution

The fourth proportional to 537,148.80, 804,556.80 and 327,196.80 is: 490,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,148.80 : 804,556.80 = 327,196.80 : x
  2. Step 2: Convert to fraction form
    537,148.80/804,556.80 = 327,196.80/x
  3. Step 3: Cross multiply
    537,148.80x = 804,556.80 × 327,196.80
  4. Step 4: Simplify right side
    537,148.80x = 263,248,410,378.24
  5. Step 5: Solve for x
    x = 263,248,410,378.24/537,148.80
  6. Step 6: Final answer
    x = 490,084.70

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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.