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Finding the Fourth Proportional to 456,089.20, 684,328.20 and 287,738.80

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Solution

The fourth proportional to 456,089.20, 684,328.20 and 287,738.80 is: 431,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,089.20 : 684,328.20 = 287,738.80 : x
  2. Step 2: Convert to fraction form
    456,089.20/684,328.20 = 287,738.80/x
  3. Step 3: Cross multiply
    456,089.20x = 684,328.20 × 287,738.80
  4. Step 4: Simplify right side
    456,089.20x = 196,907,775,074.16
  5. Step 5: Solve for x
    x = 196,907,775,074.16/456,089.20
  6. Step 6: Final answer
    x = 431,730.84

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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.