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Finding the Fourth Proportional to 446,428.80, 669,643.20 and 313,459.20

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Solution

The fourth proportional to 446,428.80, 669,643.20 and 313,459.20 is: 470,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,428.80 : 669,643.20 = 313,459.20 : x
  2. Step 2: Convert to fraction form
    446,428.80/669,643.20 = 313,459.20/x
  3. Step 3: Cross multiply
    446,428.80x = 669,643.20 × 313,459.20
  4. Step 4: Simplify right side
    446,428.80x = 209,905,821,757.44
  5. Step 5: Solve for x
    x = 209,905,821,757.44/446,428.80
  6. Step 6: Final answer
    x = 470,188.80

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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.