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Finding the Fourth Proportional to 432,235.82, 648,810.26 and 242,858.03

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Solution

The fourth proportional to 432,235.82, 648,810.26 and 242,858.03 is: 364,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,235.82 : 648,810.26 = 242,858.03 : x
  2. Step 2: Convert to fraction form
    432,235.82/648,810.26 = 242,858.03/x
  3. Step 3: Cross multiply
    432,235.82x = 648,810.26 × 242,858.03
  4. Step 4: Simplify right side
    432,235.82x = 157,568,777,129.05
  5. Step 5: Solve for x
    x = 157,568,777,129.05/432,235.82
  6. Step 6: Final answer
    x = 364,543.55

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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.