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Finding the Fourth Proportional to 470,892.80, 706,339.20 and 419,571.20

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Solution

The fourth proportional to 470,892.80, 706,339.20 and 419,571.20 is: 629,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.80 : 706,339.20 = 419,571.20 : x
  2. Step 2: Convert to fraction form
    470,892.80/706,339.20 = 419,571.20/x
  3. Step 3: Cross multiply
    470,892.80x = 706,339.20 × 419,571.20
  4. Step 4: Simplify right side
    470,892.80x = 296,359,585,751.04
  5. Step 5: Solve for x
    x = 296,359,585,751.04/470,892.80
  6. Step 6: Final answer
    x = 629,356.80

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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.