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Finding the Fourth Proportional to 432,090.30, 648,135.45 and 233,024.70

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Solution

The fourth proportional to 432,090.30, 648,135.45 and 233,024.70 is: 349,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,090.30 : 648,135.45 = 233,024.70 : x
  2. Step 2: Convert to fraction form
    432,090.30/648,135.45 = 233,024.70/x
  3. Step 3: Cross multiply
    432,090.30x = 648,135.45 × 233,024.70
  4. Step 4: Simplify right side
    432,090.30x = 151,031,568,795.62
  5. Step 5: Solve for x
    x = 151,031,568,795.62/432,090.30
  6. Step 6: Final answer
    x = 349,537.05

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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.