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Finding the Fourth Proportional to 296,893, 409,738.26 and 162,782.92

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Solution

The fourth proportional to 296,893, 409,738.26 and 162,782.92 is: 224,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,893 : 409,738.26 = 162,782.92 : x
  2. Step 2: Convert to fraction form
    296,893/409,738.26 = 162,782.92/x
  3. Step 3: Cross multiply
    296,893x = 409,738.26 × 162,782.92
  4. Step 4: Simplify right side
    296,893x = 66,698,390,398.52
  5. Step 5: Solve for x
    x = 66,698,390,398.52/296,893
  6. Step 6: Final answer
    x = 224,654.64

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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.