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Finding the Fourth Proportional to 683,929.90, 943,938.06 and 463,067

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Solution

The fourth proportional to 683,929.90, 943,938.06 and 463,067 is: 639,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,929.90 : 943,938.06 = 463,067 : x
  2. Step 2: Convert to fraction form
    683,929.90/943,938.06 = 463,067/x
  3. Step 3: Cross multiply
    683,929.90x = 943,938.06 × 463,067
  4. Step 4: Simplify right side
    683,929.90x = 437,106,565,630.02
  5. Step 5: Solve for x
    x = 437,106,565,630.02/683,929.90
  6. Step 6: Final answer
    x = 639,110.19

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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.