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Finding the Fourth Proportional to 301,851.87, 416,563.24 and 165,889.27

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Solution

The fourth proportional to 301,851.87, 416,563.24 and 165,889.27 is: 228,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,851.87 : 416,563.24 = 165,889.27 : x
  2. Step 2: Convert to fraction form
    301,851.87/416,563.24 = 165,889.27/x
  3. Step 3: Cross multiply
    301,851.87x = 416,563.24 × 165,889.27
  4. Step 4: Simplify right side
    301,851.87x = 69,103,370,566.14
  5. Step 5: Solve for x
    x = 69,103,370,566.14/301,851.87
  6. Step 6: Final answer
    x = 228,931.40

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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.