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Finding the Fourth Proportional to 417,772.80, 576,524.64 and 226,784.64

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Solution

The fourth proportional to 417,772.80, 576,524.64 and 226,784.64 is: 312,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,772.80 : 576,524.64 = 226,784.64 : x
  2. Step 2: Convert to fraction form
    417,772.80/576,524.64 = 226,784.64/x
  3. Step 3: Cross multiply
    417,772.80x = 576,524.64 × 226,784.64
  4. Step 4: Simplify right side
    417,772.80x = 130,746,932,933.53
  5. Step 5: Solve for x
    x = 130,746,932,933.53/417,772.80
  6. Step 6: Final answer
    x = 312,961.81

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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.