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Finding the Fourth Proportional to 432,403.92, 648,605.88 and 195,741.36

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Solution

The fourth proportional to 432,403.92, 648,605.88 and 195,741.36 is: 293,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,403.92 : 648,605.88 = 195,741.36 : x
  2. Step 2: Convert to fraction form
    432,403.92/648,605.88 = 195,741.36/x
  3. Step 3: Cross multiply
    432,403.92x = 648,605.88 × 195,741.36
  4. Step 4: Simplify right side
    432,403.92x = 126,958,997,055.20
  5. Step 5: Solve for x
    x = 126,958,997,055.20/432,403.92
  6. Step 6: Final answer
    x = 293,612.04

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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.