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Finding the Fourth Proportional to 513,932.12, 770,893.84 and 401,706.76

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Solution

The fourth proportional to 513,932.12, 770,893.84 and 401,706.76 is: 602,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,932.12 : 770,893.84 = 401,706.76 : x
  2. Step 2: Convert to fraction form
    513,932.12/770,893.84 = 401,706.76/x
  3. Step 3: Cross multiply
    513,932.12x = 770,893.84 × 401,706.76
  4. Step 4: Simplify right side
    513,932.12x = 309,673,266,770.36
  5. Step 5: Solve for x
    x = 309,673,266,770.36/513,932.12
  6. Step 6: Final answer
    x = 602,556.75

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1.5x scale

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.