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Finding the Fourth Proportional to 299,731.10, 449,209.08 and 224,259.10

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Solution

The fourth proportional to 299,731.10, 449,209.08 and 224,259.10 is: 336,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.10 : 449,209.08 = 224,259.10 : x
  2. Step 2: Convert to fraction form
    299,731.10/449,209.08 = 224,259.10/x
  3. Step 3: Cross multiply
    299,731.10x = 449,209.08 × 224,259.10
  4. Step 4: Simplify right side
    299,731.10x = 100,739,223,992.63
  5. Step 5: Solve for x
    x = 100,739,223,992.63/299,731.10
  6. Step 6: Final answer
    x = 336,098.67

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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.