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Finding the Fourth Proportional to 470,094.10, 705,141.15 and 449,617.30

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Solution

The fourth proportional to 470,094.10, 705,141.15 and 449,617.30 is: 674,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,094.10 : 705,141.15 = 449,617.30 : x
  2. Step 2: Convert to fraction form
    470,094.10/705,141.15 = 449,617.30/x
  3. Step 3: Cross multiply
    470,094.10x = 705,141.15 × 449,617.30
  4. Step 4: Simplify right side
    470,094.10x = 317,043,659,981.90
  5. Step 5: Solve for x
    x = 317,043,659,981.90/470,094.10
  6. Step 6: Final answer
    x = 674,425.95

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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.