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Finding the Fourth Proportional to 296,483.14, 409,213.98 and 231,824.49

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Solution

The fourth proportional to 296,483.14, 409,213.98 and 231,824.49 is: 319,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,483.14 : 409,213.98 = 231,824.49 : x
  2. Step 2: Convert to fraction form
    296,483.14/409,213.98 = 231,824.49/x
  3. Step 3: Cross multiply
    296,483.14x = 409,213.98 × 231,824.49
  4. Step 4: Simplify right side
    296,483.14x = 94,865,820,168.30
  5. Step 5: Solve for x
    x = 94,865,820,168.30/296,483.14
  6. Step 6: Final answer
    x = 319,970.37

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1.5x scale

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.