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Finding the Fourth Proportional to 432,196.40, 647,999.40 and 195,410

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Solution

The fourth proportional to 432,196.40, 647,999.40 and 195,410 is: 292,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,196.40 : 647,999.40 = 195,410 : x
  2. Step 2: Convert to fraction form
    432,196.40/647,999.40 = 195,410/x
  3. Step 3: Cross multiply
    432,196.40x = 647,999.40 × 195,410
  4. Step 4: Simplify right side
    432,196.40x = 126,625,562,754
  5. Step 5: Solve for x
    x = 126,625,562,754/432,196.40
  6. Step 6: Final answer
    x = 292,981.53

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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.