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Finding the Fourth Proportional to 264,314.88, 364,757.16 and 143,457.24

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Solution

The fourth proportional to 264,314.88, 364,757.16 and 143,457.24 is: 197,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,314.88 : 364,757.16 = 143,457.24 : x
  2. Step 2: Convert to fraction form
    264,314.88/364,757.16 = 143,457.24/x
  3. Step 3: Cross multiply
    264,314.88x = 364,757.16 × 143,457.24
  4. Step 4: Simplify right side
    264,314.88x = 52,327,055,443.84
  5. Step 5: Solve for x
    x = 52,327,055,443.84/264,314.88
  6. Step 6: Final answer
    x = 197,972.42

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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.