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Finding the Fourth Proportional to 470,747.70, 706,121.55 and 411,698.70

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Solution

The fourth proportional to 470,747.70, 706,121.55 and 411,698.70 is: 617,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,747.70 : 706,121.55 = 411,698.70 : x
  2. Step 2: Convert to fraction form
    470,747.70/706,121.55 = 411,698.70/x
  3. Step 3: Cross multiply
    470,747.70x = 706,121.55 × 411,698.70
  4. Step 4: Simplify right side
    470,747.70x = 290,709,324,176.99
  5. Step 5: Solve for x
    x = 290,709,324,176.99/470,747.70
  6. Step 6: Final answer
    x = 617,548.05

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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.