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Finding the Fourth Proportional to 497,029.21, 745,543.80 and 123,052.21

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Solution

The fourth proportional to 497,029.21, 745,543.80 and 123,052.21 is: 184,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,029.21 : 745,543.80 = 123,052.21 : x
  2. Step 2: Convert to fraction form
    497,029.21/745,543.80 = 123,052.21/x
  3. Step 3: Cross multiply
    497,029.21x = 745,543.80 × 123,052.21
  4. Step 4: Simplify right side
    497,029.21x = 91,740,812,241.80
  5. Step 5: Solve for x
    x = 91,740,812,241.80/497,029.21
  6. Step 6: Final answer
    x = 184,578.31

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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.