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Finding the Fourth Proportional to 301,094.88, 451,642.52 and 76,472.16

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Solution

The fourth proportional to 301,094.88, 451,642.52 and 76,472.16 is: 114,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,094.88 : 451,642.52 = 76,472.16 : x
  2. Step 2: Convert to fraction form
    301,094.88/451,642.52 = 76,472.16/x
  3. Step 3: Cross multiply
    301,094.88x = 451,642.52 × 76,472.16
  4. Step 4: Simplify right side
    301,094.88x = 34,538,079,243.42
  5. Step 5: Solve for x
    x = 34,538,079,243.42/301,094.88
  6. Step 6: Final answer
    x = 114,708.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.