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Finding the Fourth Proportional to 264,286.84, 364,718.52 and 143,429.18

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Solution

The fourth proportional to 264,286.84, 364,718.52 and 143,429.18 is: 197,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,286.84 : 364,718.52 = 143,429.18 : x
  2. Step 2: Convert to fraction form
    264,286.84/364,718.52 = 143,429.18/x
  3. Step 3: Cross multiply
    264,286.84x = 364,718.52 × 143,429.18
  4. Step 4: Simplify right side
    264,286.84x = 52,311,278,254.41
  5. Step 5: Solve for x
    x = 52,311,278,254.41/264,286.84
  6. Step 6: Final answer
    x = 197,933.72

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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.