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Finding the Fourth Proportional to 432,090.60, 648,135.90 and 254,943.60

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Solution

The fourth proportional to 432,090.60, 648,135.90 and 254,943.60 is: 382,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,090.60 : 648,135.90 = 254,943.60 : x
  2. Step 2: Convert to fraction form
    432,090.60/648,135.90 = 254,943.60/x
  3. Step 3: Cross multiply
    432,090.60x = 648,135.90 × 254,943.60
  4. Step 4: Simplify right side
    432,090.60x = 165,238,099,635.24
  5. Step 5: Solve for x
    x = 165,238,099,635.24/432,090.60
  6. Step 6: Final answer
    x = 382,415.40

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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.