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Finding the Fourth Proportional to 432,059.43, 648,419.94 and 195,568.19

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Solution

The fourth proportional to 432,059.43, 648,419.94 and 195,568.19 is: 293,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,059.43 : 648,419.94 = 195,568.19 : x
  2. Step 2: Convert to fraction form
    432,059.43/648,419.94 = 195,568.19/x
  3. Step 3: Cross multiply
    432,059.43x = 648,419.94 × 195,568.19
  4. Step 4: Simplify right side
    432,059.43x = 126,810,310,783.61
  5. Step 5: Solve for x
    x = 126,810,310,783.61/432,059.43
  6. Step 6: Final answer
    x = 293,502.01

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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.