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Finding the Fourth Proportional to 233,570.86, 321,307.77 and 204,760.78

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Solution

The fourth proportional to 233,570.86, 321,307.77 and 204,760.78 is: 281,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,570.86 : 321,307.77 = 204,760.78 : x
  2. Step 2: Convert to fraction form
    233,570.86/321,307.77 = 204,760.78/x
  3. Step 3: Cross multiply
    233,570.86x = 321,307.77 × 204,760.78
  4. Step 4: Simplify right side
    233,570.86x = 65,791,229,605.26
  5. Step 5: Solve for x
    x = 65,791,229,605.26/233,570.86
  6. Step 6: Final answer
    x = 281,675.67

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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.