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Finding the Fourth Proportional to 297,384, 410,117.67 and 195,369

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Solution

The fourth proportional to 297,384, 410,117.67 and 195,369 is: 269,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,384 : 410,117.67 = 195,369 : x
  2. Step 2: Convert to fraction form
    297,384/410,117.67 = 195,369/x
  3. Step 3: Cross multiply
    297,384x = 410,117.67 × 195,369
  4. Step 4: Simplify right side
    297,384x = 80,124,279,070.23
  5. Step 5: Solve for x
    x = 80,124,279,070.23/297,384
  6. Step 6: Final answer
    x = 269,430.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.