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Finding the Fourth Proportional to 264,314.53, 364,754.43 and 143,455.84

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Solution

The fourth proportional to 264,314.53, 364,754.43 and 143,455.84 is: 197,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,314.53 : 364,754.43 = 143,455.84 : x
  2. Step 2: Convert to fraction form
    264,314.53/364,754.43 = 143,455.84/x
  3. Step 3: Cross multiply
    264,314.53x = 364,754.43 × 143,455.84
  4. Step 4: Simplify right side
    264,314.53x = 52,326,153,149.37
  5. Step 5: Solve for x
    x = 52,326,153,149.37/264,314.53
  6. Step 6: Final answer
    x = 197,969.26

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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.