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Finding the Fourth Proportional to 301,521.12, 416,293.86 and 186,922.25

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Solution

The fourth proportional to 301,521.12, 416,293.86 and 186,922.25 is: 258,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,521.12 : 416,293.86 = 186,922.25 : x
  2. Step 2: Convert to fraction form
    301,521.12/416,293.86 = 186,922.25/x
  3. Step 3: Cross multiply
    301,521.12x = 416,293.86 × 186,922.25
  4. Step 4: Simplify right side
    301,521.12x = 77,814,585,152.98
  5. Step 5: Solve for x
    x = 77,814,585,152.98/301,521.12
  6. Step 6: Final answer
    x = 258,073.42

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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.