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Finding the Fourth Proportional to 432,296.16, 648,430.29 and 195,638.82

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Solution

The fourth proportional to 432,296.16, 648,430.29 and 195,638.82 is: 293,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,296.16 : 648,430.29 = 195,638.82 : x
  2. Step 2: Convert to fraction form
    432,296.16/648,430.29 = 195,638.82/x
  3. Step 3: Cross multiply
    432,296.16x = 648,430.29 × 195,638.82
  4. Step 4: Simplify right side
    432,296.16x = 126,858,136,787.86
  5. Step 5: Solve for x
    x = 126,858,136,787.86/432,296.16
  6. Step 6: Final answer
    x = 293,451.92

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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.