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Finding the Fourth Proportional to 463,709.57, 643,193.09 and 451,418.63

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Solution

The fourth proportional to 463,709.57, 643,193.09 and 451,418.63 is: 626,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709.57 : 643,193.09 = 451,418.63 : x
  2. Step 2: Convert to fraction form
    463,709.57/643,193.09 = 451,418.63/x
  3. Step 3: Cross multiply
    463,709.57x = 643,193.09 × 451,418.63
  4. Step 4: Simplify right side
    463,709.57x = 290,349,341,905.28
  5. Step 5: Solve for x
    x = 290,349,341,905.28/463,709.57
  6. Step 6: Final answer
    x = 626,144.82

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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.