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Finding the Fourth Proportional to 853,505.32, 1,280,323.32 and 254,420.68

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Solution

The fourth proportional to 853,505.32, 1,280,323.32 and 254,420.68 is: 381,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,505.32 : 1,280,323.32 = 254,420.68 : x
  2. Step 2: Convert to fraction form
    853,505.32/1,280,323.32 = 254,420.68/x
  3. Step 3: Cross multiply
    853,505.32x = 1,280,323.32 × 254,420.68
  4. Step 4: Simplify right side
    853,505.32x = 325,740,729,694.26
  5. Step 5: Solve for x
    x = 325,740,729,694.26/853,505.32
  6. Step 6: Final answer
    x = 381,650.50

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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.