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Finding the Fourth Proportional to 301,468.80, 416,035.20 and 194,246.40

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Solution

The fourth proportional to 301,468.80, 416,035.20 and 194,246.40 is: 268,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,468.80 : 416,035.20 = 194,246.40 : x
  2. Step 2: Convert to fraction form
    301,468.80/416,035.20 = 194,246.40/x
  3. Step 3: Cross multiply
    301,468.80x = 416,035.20 × 194,246.40
  4. Step 4: Simplify right side
    301,468.80x = 80,813,339,873.28
  5. Step 5: Solve for x
    x = 80,813,339,873.28/301,468.80
  6. Step 6: Final answer
    x = 268,065.35

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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.