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Finding the Fourth Proportional to 296,570, 409,266.80 and 160,604.10

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Solution

The fourth proportional to 296,570, 409,266.80 and 160,604.10 is: 221,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,570 : 409,266.80 = 160,604.10 : x
  2. Step 2: Convert to fraction form
    296,570/409,266.80 = 160,604.10/x
  3. Step 3: Cross multiply
    296,570x = 409,266.80 × 160,604.10
  4. Step 4: Simplify right side
    296,570x = 65,729,926,073.88
  5. Step 5: Solve for x
    x = 65,729,926,073.88/296,570
  6. Step 6: Final answer
    x = 221,633.77

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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.