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Finding the Fourth Proportional to 301,521.57, 416,070.32 and 174,194.43

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Solution

The fourth proportional to 301,521.57, 416,070.32 and 174,194.43 is: 240,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,521.57 : 416,070.32 = 174,194.43 : x
  2. Step 2: Convert to fraction form
    301,521.57/416,070.32 = 174,194.43/x
  3. Step 3: Cross multiply
    301,521.57x = 416,070.32 × 174,194.43
  4. Step 4: Simplify right side
    301,521.57x = 72,477,131,361.35
  5. Step 5: Solve for x
    x = 72,477,131,361.35/301,521.57
  6. Step 6: Final answer
    x = 240,371.30

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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.