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Finding the Fourth Proportional to 213,958.44, 320,952.24 and 56,186.64

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Solution

The fourth proportional to 213,958.44, 320,952.24 and 56,186.64 is: 84,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.44 : 320,952.24 = 56,186.64 : x
  2. Step 2: Convert to fraction form
    213,958.44/320,952.24 = 56,186.64/x
  3. Step 3: Cross multiply
    213,958.44x = 320,952.24 × 56,186.64
  4. Step 4: Simplify right side
    213,958.44x = 18,033,227,966.07
  5. Step 5: Solve for x
    x = 18,033,227,966.07/213,958.44
  6. Step 6: Final answer
    x = 84,283.79

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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.