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Finding the Fourth Proportional to 296,419.96, 409,059.78 and 160,453.49

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Solution

The fourth proportional to 296,419.96, 409,059.78 and 160,453.49 is: 221,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,419.96 : 409,059.78 = 160,453.49 : x
  2. Step 2: Convert to fraction form
    296,419.96/409,059.78 = 160,453.49/x
  3. Step 3: Cross multiply
    296,419.96x = 409,059.78 × 160,453.49
  4. Step 4: Simplify right side
    296,419.96x = 65,635,069,319.63
  5. Step 5: Solve for x
    x = 65,635,069,319.63/296,419.96
  6. Step 6: Final answer
    x = 221,425.94

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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.