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Finding the Fourth Proportional to 565,665.70, 848,498.55 and 313,723.30

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Solution

The fourth proportional to 565,665.70, 848,498.55 and 313,723.30 is: 470,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,665.70 : 848,498.55 = 313,723.30 : x
  2. Step 2: Convert to fraction form
    565,665.70/848,498.55 = 313,723.30/x
  3. Step 3: Cross multiply
    565,665.70x = 848,498.55 × 313,723.30
  4. Step 4: Simplify right side
    565,665.70x = 266,193,765,151.22
  5. Step 5: Solve for x
    x = 266,193,765,151.22/565,665.70
  6. Step 6: Final answer
    x = 470,584.95

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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.