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Finding the Fourth Proportional to 306,198.64, 459,306.60 and 84,582.64

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Solution

The fourth proportional to 306,198.64, 459,306.60 and 84,582.64 is: 126,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,198.64 : 459,306.60 = 84,582.64 : x
  2. Step 2: Convert to fraction form
    306,198.64/459,306.60 = 84,582.64/x
  3. Step 3: Cross multiply
    306,198.64x = 459,306.60 × 84,582.64
  4. Step 4: Simplify right side
    306,198.64x = 38,849,364,797.42
  5. Step 5: Solve for x
    x = 38,849,364,797.42/306,198.64
  6. Step 6: Final answer
    x = 126,876.35

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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.