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Finding the Fourth Proportional to 293,741.50, 405,365.75 and 159,605.50

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Solution

The fourth proportional to 293,741.50, 405,365.75 and 159,605.50 is: 220,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,741.50 : 405,365.75 = 159,605.50 : x
  2. Step 2: Convert to fraction form
    293,741.50/405,365.75 = 159,605.50/x
  3. Step 3: Cross multiply
    293,741.50x = 405,365.75 × 159,605.50
  4. Step 4: Simplify right side
    293,741.50x = 64,698,603,211.63
  5. Step 5: Solve for x
    x = 64,698,603,211.63/293,741.50
  6. Step 6: Final answer
    x = 220,256.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.