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Finding the Fourth Proportional to 569,783.33, 854,295.34 and 313,736.47

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Solution

The fourth proportional to 569,783.33, 854,295.34 and 313,736.47 is: 470,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,783.33 : 854,295.34 = 313,736.47 : x
  2. Step 2: Convert to fraction form
    569,783.33/854,295.34 = 313,736.47/x
  3. Step 3: Cross multiply
    569,783.33x = 854,295.34 × 313,736.47
  4. Step 4: Simplify right side
    569,783.33x = 268,023,605,769.09
  5. Step 5: Solve for x
    x = 268,023,605,769.09/569,783.33
  6. Step 6: Final answer
    x = 470,395.66

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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.