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Finding the Fourth Proportional to 301,708.82, 416,311.93 and 174,359.84

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Solution

The fourth proportional to 301,708.82, 416,311.93 and 174,359.84 is: 240,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708.82 : 416,311.93 = 174,359.84 : x
  2. Step 2: Convert to fraction form
    301,708.82/416,311.93 = 174,359.84/x
  3. Step 3: Cross multiply
    301,708.82x = 416,311.93 × 174,359.84
  4. Step 4: Simplify right side
    301,708.82x = 72,588,078,987.43
  5. Step 5: Solve for x
    x = 72,588,078,987.43/301,708.82
  6. Step 6: Final answer
    x = 240,589.85

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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.