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Finding the Fourth Proportional to 565,514.20, 848,271.30 and 313,571.80

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Solution

The fourth proportional to 565,514.20, 848,271.30 and 313,571.80 is: 470,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,514.20 : 848,271.30 = 313,571.80 : x
  2. Step 2: Convert to fraction form
    565,514.20/848,271.30 = 313,571.80/x
  3. Step 3: Cross multiply
    565,514.20x = 848,271.30 × 313,571.80
  4. Step 4: Simplify right side
    565,514.20x = 265,993,958,429.34
  5. Step 5: Solve for x
    x = 265,993,958,429.34/565,514.20
  6. Step 6: Final answer
    x = 470,357.70

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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.