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Finding the Fourth Proportional to 313,778.16, 433,017.24 and 170,538.23

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Solution

The fourth proportional to 313,778.16, 433,017.24 and 170,538.23 is: 235,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,778.16 : 433,017.24 = 170,538.23 : x
  2. Step 2: Convert to fraction form
    313,778.16/433,017.24 = 170,538.23/x
  3. Step 3: Cross multiply
    313,778.16x = 433,017.24 × 170,538.23
  4. Step 4: Simplify right side
    313,778.16x = 73,845,991,504.00
  5. Step 5: Solve for x
    x = 73,845,991,504.00/313,778.16
  6. Step 6: Final answer
    x = 235,344.59

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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.