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Finding the Fourth Proportional to 299,735.10, 449,215.08 and 224,263.10

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Solution

The fourth proportional to 299,735.10, 449,215.08 and 224,263.10 is: 336,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,735.10 : 449,215.08 = 224,263.10 : x
  2. Step 2: Convert to fraction form
    299,735.10/449,215.08 = 224,263.10/x
  3. Step 3: Cross multiply
    299,735.10x = 449,215.08 × 224,263.10
  4. Step 4: Simplify right side
    299,735.10x = 100,742,366,407.55
  5. Step 5: Solve for x
    x = 100,742,366,407.55/299,735.10
  6. Step 6: Final answer
    x = 336,104.67

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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.