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Finding the Fourth Proportional to 383,477.40, 575,216.10 and 196,853.40

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Solution

The fourth proportional to 383,477.40, 575,216.10 and 196,853.40 is: 295,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,477.40 : 575,216.10 = 196,853.40 : x
  2. Step 2: Convert to fraction form
    383,477.40/575,216.10 = 196,853.40/x
  3. Step 3: Cross multiply
    383,477.40x = 575,216.10 × 196,853.40
  4. Step 4: Simplify right side
    383,477.40x = 113,233,245,019.74
  5. Step 5: Solve for x
    x = 113,233,245,019.74/383,477.40
  6. Step 6: Final answer
    x = 295,280.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.