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Finding the Fourth Proportional to 357,450.26, 536,401.37 and 199,782.14

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Solution

The fourth proportional to 357,450.26, 536,401.37 and 199,782.14 is: 299,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,450.26 : 536,401.37 = 199,782.14 : x
  2. Step 2: Convert to fraction form
    357,450.26/536,401.37 = 199,782.14/x
  3. Step 3: Cross multiply
    357,450.26x = 536,401.37 × 199,782.14
  4. Step 4: Simplify right side
    357,450.26x = 107,163,409,916.61
  5. Step 5: Solve for x
    x = 107,163,409,916.61/357,450.26
  6. Step 6: Final answer
    x = 299,799.51

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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.