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Finding the Fourth Proportional to 333,113.28, 459,684.84 and 189,919.44

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Solution

The fourth proportional to 333,113.28, 459,684.84 and 189,919.44 is: 262,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,113.28 : 459,684.84 = 189,919.44 : x
  2. Step 2: Convert to fraction form
    333,113.28/459,684.84 = 189,919.44/x
  3. Step 3: Cross multiply
    333,113.28x = 459,684.84 × 189,919.44
  4. Step 4: Simplify right side
    333,113.28x = 87,303,087,389.29
  5. Step 5: Solve for x
    x = 87,303,087,389.29/333,113.28
  6. Step 6: Final answer
    x = 262,082.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.