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Finding the Fourth Proportional to 417,512.16, 625,480.88 and 323,558.64

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Solution

The fourth proportional to 417,512.16, 625,480.88 and 323,558.64 is: 484,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,512.16 : 625,480.88 = 323,558.64 : x
  2. Step 2: Convert to fraction form
    417,512.16/625,480.88 = 323,558.64/x
  3. Step 3: Cross multiply
    417,512.16x = 625,480.88 × 323,558.64
  4. Step 4: Simplify right side
    417,512.16x = 202,379,742,878.80
  5. Step 5: Solve for x
    x = 202,379,742,878.80/417,512.16
  6. Step 6: Final answer
    x = 484,727.78

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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.