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Finding the Fourth Proportional to 264,218.94, 364,460.84 and 156,716.96

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Solution

The fourth proportional to 264,218.94, 364,460.84 and 156,716.96 is: 216,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,218.94 : 364,460.84 = 156,716.96 : x
  2. Step 2: Convert to fraction form
    264,218.94/364,460.84 = 156,716.96/x
  3. Step 3: Cross multiply
    264,218.94x = 364,460.84 × 156,716.96
  4. Step 4: Simplify right side
    264,218.94x = 57,117,194,883.85
  5. Step 5: Solve for x
    x = 57,117,194,883.85/264,218.94
  6. Step 6: Final answer
    x = 216,173.73

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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.