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Finding the Fourth Proportional to 320,468.10, 480,068.55 and 281,069.70

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Solution

The fourth proportional to 320,468.10, 480,068.55 and 281,069.70 is: 421,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,468.10 : 480,068.55 = 281,069.70 : x
  2. Step 2: Convert to fraction form
    320,468.10/480,068.55 = 281,069.70/x
  3. Step 3: Cross multiply
    320,468.10x = 480,068.55 × 281,069.70
  4. Step 4: Simplify right side
    320,468.10x = 134,932,723,327.94
  5. Step 5: Solve for x
    x = 134,932,723,327.94/320,468.10
  6. Step 6: Final answer
    x = 421,048.84

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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.