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Finding the Fourth Proportional to 471,801.16, 647,423.57 and 429,033.16

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Solution

The fourth proportional to 471,801.16, 647,423.57 and 429,033.16 is: 588,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,801.16 : 647,423.57 = 429,033.16 : x
  2. Step 2: Convert to fraction form
    471,801.16/647,423.57 = 429,033.16/x
  3. Step 3: Cross multiply
    471,801.16x = 647,423.57 × 429,033.16
  4. Step 4: Simplify right side
    471,801.16x = 277,766,180,095.58
  5. Step 5: Solve for x
    x = 277,766,180,095.58/471,801.16
  6. Step 6: Final answer
    x = 588,735.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.