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Finding the Fourth Proportional to 537,023.20, 804,843.60 and 326,437.60

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Solution

The fourth proportional to 537,023.20, 804,843.60 and 326,437.60 is: 489,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,023.20 : 804,843.60 = 326,437.60 : x
  2. Step 2: Convert to fraction form
    537,023.20/804,843.60 = 326,437.60/x
  3. Step 3: Cross multiply
    537,023.20x = 804,843.60 × 326,437.60
  4. Step 4: Simplify right side
    537,023.20x = 262,731,213,159.36
  5. Step 5: Solve for x
    x = 262,731,213,159.36/537,023.20
  6. Step 6: Final answer
    x = 489,236.24

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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.