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Finding the Fourth Proportional to 296,797.63, 409,581.08 and 160,830.39

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Solution

The fourth proportional to 296,797.63, 409,581.08 and 160,830.39 is: 221,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,797.63 : 409,581.08 = 160,830.39 : x
  2. Step 2: Convert to fraction form
    296,797.63/409,581.08 = 160,830.39/x
  3. Step 3: Cross multiply
    296,797.63x = 409,581.08 × 160,830.39
  4. Step 4: Simplify right side
    296,797.63x = 65,873,083,890.83
  5. Step 5: Solve for x
    x = 65,873,083,890.83/296,797.63
  6. Step 6: Final answer
    x = 221,946.12

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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.