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Finding the Fourth Proportional to 432,833.12, 649,045.34 and 252,970.16

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Solution

The fourth proportional to 432,833.12, 649,045.34 and 252,970.16 is: 379,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,833.12 : 649,045.34 = 252,970.16 : x
  2. Step 2: Convert to fraction form
    432,833.12/649,045.34 = 252,970.16/x
  3. Step 3: Cross multiply
    432,833.12x = 649,045.34 × 252,970.16
  4. Step 4: Simplify right side
    432,833.12x = 164,189,103,507.05
  5. Step 5: Solve for x
    x = 164,189,103,507.05/432,833.12
  6. Step 6: Final answer
    x = 379,335.81

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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.