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Finding the Fourth Proportional to 301,191.58, 415,574.61 and 180,286.90

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Solution

The fourth proportional to 301,191.58, 415,574.61 and 180,286.90 is: 248,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,191.58 : 415,574.61 = 180,286.90 : x
  2. Step 2: Convert to fraction form
    301,191.58/415,574.61 = 180,286.90/x
  3. Step 3: Cross multiply
    301,191.58x = 415,574.61 × 180,286.90
  4. Step 4: Simplify right side
    301,191.58x = 74,922,658,155.61
  5. Step 5: Solve for x
    x = 74,922,658,155.61/301,191.58
  6. Step 6: Final answer
    x = 248,754.16

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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.