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Finding the Fourth Proportional to 296,924.54, 409,744.98 and 160,955.64

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Solution

The fourth proportional to 296,924.54, 409,744.98 and 160,955.64 is: 222,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,924.54 : 409,744.98 = 160,955.64 : x
  2. Step 2: Convert to fraction form
    296,924.54/409,744.98 = 160,955.64/x
  3. Step 3: Cross multiply
    296,924.54x = 409,744.98 × 160,955.64
  4. Step 4: Simplify right side
    296,924.54x = 65,950,765,492.69
  5. Step 5: Solve for x
    x = 65,950,765,492.69/296,924.54
  6. Step 6: Final answer
    x = 222,112.89

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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.