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Finding the Fourth Proportional to 296,618.09, 409,330.58 and 160,648.92

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Solution

The fourth proportional to 296,618.09, 409,330.58 and 160,648.92 is: 221,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,618.09 : 409,330.58 = 160,648.92 : x
  2. Step 2: Convert to fraction form
    296,618.09/409,330.58 = 160,648.92/x
  3. Step 3: Cross multiply
    296,618.09x = 409,330.58 × 160,648.92
  4. Step 4: Simplify right side
    296,618.09x = 65,758,514,796.73
  5. Step 5: Solve for x
    x = 65,758,514,796.73/296,618.09
  6. Step 6: Final answer
    x = 221,694.22

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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.