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Finding the Fourth Proportional to 432,404.31, 648,725.37 and 207,952.50

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Solution

The fourth proportional to 432,404.31, 648,725.37 and 207,952.50 is: 311,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,404.31 : 648,725.37 = 207,952.50 : x
  2. Step 2: Convert to fraction form
    432,404.31/648,725.37 = 207,952.50/x
  3. Step 3: Cross multiply
    432,404.31x = 648,725.37 × 207,952.50
  4. Step 4: Simplify right side
    432,404.31x = 134,904,062,504.93
  5. Step 5: Solve for x
    x = 134,904,062,504.93/432,404.31
  6. Step 6: Final answer
    x = 311,985.93

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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.