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Finding the Fourth Proportional to 770,425.20, 1,063,180.68 and 430,893.20

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Solution

The fourth proportional to 770,425.20, 1,063,180.68 and 430,893.20 is: 594,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,425.20 : 1,063,180.68 = 430,893.20 : x
  2. Step 2: Convert to fraction form
    770,425.20/1,063,180.68 = 430,893.20/x
  3. Step 3: Cross multiply
    770,425.20x = 1,063,180.68 × 430,893.20
  4. Step 4: Simplify right side
    770,425.20x = 458,117,325,383.38
  5. Step 5: Solve for x
    x = 458,117,325,383.38/770,425.20
  6. Step 6: Final answer
    x = 594,629.21

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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.