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Finding the Fourth Proportional to 301,785.36, 416,307.63 and 204,994.20

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Solution

The fourth proportional to 301,785.36, 416,307.63 and 204,994.20 is: 282,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,785.36 : 416,307.63 = 204,994.20 : x
  2. Step 2: Convert to fraction form
    301,785.36/416,307.63 = 204,994.20/x
  3. Step 3: Cross multiply
    301,785.36x = 416,307.63 × 204,994.20
  4. Step 4: Simplify right side
    301,785.36x = 85,340,649,565.75
  5. Step 5: Solve for x
    x = 85,340,649,565.75/301,785.36
  6. Step 6: Final answer
    x = 282,785.92

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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.