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Finding the Fourth Proportional to 601,603.14, 830,212.35 and 333,331.14

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Solution

The fourth proportional to 601,603.14, 830,212.35 and 333,331.14 is: 459,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,603.14 : 830,212.35 = 333,331.14 : x
  2. Step 2: Convert to fraction form
    601,603.14/830,212.35 = 333,331.14/x
  3. Step 3: Cross multiply
    601,603.14x = 830,212.35 × 333,331.14
  4. Step 4: Simplify right side
    601,603.14x = 276,735,629,067.58
  5. Step 5: Solve for x
    x = 276,735,629,067.58/601,603.14
  6. Step 6: Final answer
    x = 459,996.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.