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Finding the Fourth Proportional to 296,416.87, 409,055.37 and 160,450.37

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Solution

The fourth proportional to 296,416.87, 409,055.37 and 160,450.37 is: 221,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,416.87 : 409,055.37 = 160,450.37 : x
  2. Step 2: Convert to fraction form
    296,416.87/409,055.37 = 160,450.37/x
  3. Step 3: Cross multiply
    296,416.87x = 409,055.37 × 160,450.37
  4. Step 4: Simplify right side
    296,416.87x = 65,633,084,353.98
  5. Step 5: Solve for x
    x = 65,633,084,353.98/296,416.87
  6. Step 6: Final answer
    x = 221,421.56

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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.