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Finding the Fourth Proportional to 470,934.20, 706,401.30 and 446,972.60

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Solution

The fourth proportional to 470,934.20, 706,401.30 and 446,972.60 is: 670,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,934.20 : 706,401.30 = 446,972.60 : x
  2. Step 2: Convert to fraction form
    470,934.20/706,401.30 = 446,972.60/x
  3. Step 3: Cross multiply
    470,934.20x = 706,401.30 × 446,972.60
  4. Step 4: Simplify right side
    470,934.20x = 315,742,025,704.38
  5. Step 5: Solve for x
    x = 315,742,025,704.38/470,934.20
  6. Step 6: Final answer
    x = 670,458.90

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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.