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Finding the Fourth Proportional to 483,748.64, 667,340.88 and 416,564

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Solution

The fourth proportional to 483,748.64, 667,340.88 and 416,564 is: 574,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,748.64 : 667,340.88 = 416,564 : x
  2. Step 2: Convert to fraction form
    483,748.64/667,340.88 = 416,564/x
  3. Step 3: Cross multiply
    483,748.64x = 667,340.88 × 416,564
  4. Step 4: Simplify right side
    483,748.64x = 277,990,186,336.32
  5. Step 5: Solve for x
    x = 277,990,186,336.32/483,748.64
  6. Step 6: Final answer
    x = 574,658.33

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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.