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Finding the Fourth Proportional to 296,435.40, 409,080.42 and 160,468.68

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Solution

The fourth proportional to 296,435.40, 409,080.42 and 160,468.68 is: 221,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,435.40 : 409,080.42 = 160,468.68 : x
  2. Step 2: Convert to fraction form
    296,435.40/409,080.42 = 160,468.68/x
  3. Step 3: Cross multiply
    296,435.40x = 409,080.42 × 160,468.68
  4. Step 4: Simplify right side
    296,435.40x = 65,644,595,011.25
  5. Step 5: Solve for x
    x = 65,644,595,011.25/296,435.40
  6. Step 6: Final answer
    x = 221,446.54

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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.