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Finding the Fourth Proportional to 293,643.20, 412,033.60 and 293,643.20

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Solution

The fourth proportional to 293,643.20, 412,033.60 and 293,643.20 is: 412,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,643.20 : 412,033.60 = 293,643.20 : x
  2. Step 2: Convert to fraction form
    293,643.20/412,033.60 = 293,643.20/x
  3. Step 3: Cross multiply
    293,643.20x = 412,033.60 × 293,643.20
  4. Step 4: Simplify right side
    293,643.20x = 120,990,864,811.52
  5. Step 5: Solve for x
    x = 120,990,864,811.52/293,643.20
  6. Step 6: Final answer
    x = 412,033.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.