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Finding the Fourth Proportional to 313,777.98, 433,011 and 170,538.87

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Solution

The fourth proportional to 313,777.98, 433,011 and 170,538.87 is: 235,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,777.98 : 433,011 = 170,538.87 : x
  2. Step 2: Convert to fraction form
    313,777.98/433,011 = 170,538.87/x
  3. Step 3: Cross multiply
    313,777.98x = 433,011 × 170,538.87
  4. Step 4: Simplify right side
    313,777.98x = 73,845,206,637.57
  5. Step 5: Solve for x
    x = 73,845,206,637.57/313,777.98
  6. Step 6: Final answer
    x = 235,342.22

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