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Finding the Fourth Proportional to 463,710.19, 643,193.96 and 451,419.25

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Solution

The fourth proportional to 463,710.19, 643,193.96 and 451,419.25 is: 626,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,710.19 : 643,193.96 = 451,419.25 : x
  2. Step 2: Convert to fraction form
    463,710.19/643,193.96 = 451,419.25/x
  3. Step 3: Cross multiply
    463,710.19x = 643,193.96 × 451,419.25
  4. Step 4: Simplify right side
    463,710.19x = 290,350,135,027.73
  5. Step 5: Solve for x
    x = 290,350,135,027.73/463,710.19
  6. Step 6: Final answer
    x = 626,145.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.