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Finding the Fourth Proportional to 296,665.29, 409,400.07 and 160,699.24

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Solution

The fourth proportional to 296,665.29, 409,400.07 and 160,699.24 is: 221,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,665.29 : 409,400.07 = 160,699.24 : x
  2. Step 2: Convert to fraction form
    296,665.29/409,400.07 = 160,699.24/x
  3. Step 3: Cross multiply
    296,665.29x = 409,400.07 × 160,699.24
  4. Step 4: Simplify right side
    296,665.29x = 65,790,280,616.70
  5. Step 5: Solve for x
    x = 65,790,280,616.70/296,665.29
  6. Step 6: Final answer
    x = 221,766.02

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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.