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Finding the Fourth Proportional to 295,285,412.80, 442,795,408.80 and 113,472,164.80

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Solution

The fourth proportional to 295,285,412.80, 442,795,408.80 and 113,472,164.80 is: 170,157,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,285,412.80 : 442,795,408.80 = 113,472,164.80 : x
  2. Step 2: Convert to fraction form
    295,285,412.80/442,795,408.80 = 113,472,164.80/x
  3. Step 3: Cross multiply
    295,285,412.80x = 442,795,408.80 × 113,472,164.80
  4. Step 4: Simplify right side
    295,285,412.80x = 50,244,953,600,036,968
  5. Step 5: Solve for x
    x = 50,244,953,600,036,968/295,285,412.80
  6. Step 6: Final answer
    x = 170,157,249.30

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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.