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Finding the Fourth Proportional to 262,431.60, 393,647.40 and 96,284.40

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Solution

The fourth proportional to 262,431.60, 393,647.40 and 96,284.40 is: 144,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,431.60 : 393,647.40 = 96,284.40 : x
  2. Step 2: Convert to fraction form
    262,431.60/393,647.40 = 96,284.40/x
  3. Step 3: Cross multiply
    262,431.60x = 393,647.40 × 96,284.40
  4. Step 4: Simplify right side
    262,431.60x = 37,902,103,720.56
  5. Step 5: Solve for x
    x = 37,902,103,720.56/262,431.60
  6. Step 6: Final answer
    x = 144,426.60

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1.5x scale

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.