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Finding the Fourth Proportional to 471,796.84, 707,344.26 and 424,272.52

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Solution

The fourth proportional to 471,796.84, 707,344.26 and 424,272.52 is: 636,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,796.84 : 707,344.26 = 424,272.52 : x
  2. Step 2: Convert to fraction form
    471,796.84/707,344.26 = 424,272.52/x
  3. Step 3: Cross multiply
    471,796.84x = 707,344.26 × 424,272.52
  4. Step 4: Simplify right side
    471,796.84x = 300,106,731,697.74
  5. Step 5: Solve for x
    x = 300,106,731,697.74/471,796.84
  6. Step 6: Final answer
    x = 636,093.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.