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Finding the Fourth Proportional to 464,027.20, 697,077.60 and 446,401.60

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Solution

The fourth proportional to 464,027.20, 697,077.60 and 446,401.60 is: 670,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,027.20 : 697,077.60 = 446,401.60 : x
  2. Step 2: Convert to fraction form
    464,027.20/697,077.60 = 446,401.60/x
  3. Step 3: Cross multiply
    464,027.20x = 697,077.60 × 446,401.60
  4. Step 4: Simplify right side
    464,027.20x = 311,176,555,964.16
  5. Step 5: Solve for x
    x = 311,176,555,964.16/464,027.20
  6. Step 6: Final answer
    x = 670,599.82

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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.