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Finding the Fourth Proportional to 463,709.70, 643,193.27 and 451,418.76

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Solution

The fourth proportional to 463,709.70, 643,193.27 and 451,418.76 is: 626,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709.70 : 643,193.27 = 451,418.76 : x
  2. Step 2: Convert to fraction form
    463,709.70/643,193.27 = 451,418.76/x
  3. Step 3: Cross multiply
    463,709.70x = 643,193.27 × 451,418.76
  4. Step 4: Simplify right side
    463,709.70x = 290,349,506,126.65
  5. Step 5: Solve for x
    x = 290,349,506,126.65/463,709.70
  6. Step 6: Final answer
    x = 626,144.99

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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.