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Finding the Fourth Proportional to 296,611.10, 409,324.54 and 160,646.66

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Solution

The fourth proportional to 296,611.10, 409,324.54 and 160,646.66 is: 221,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611.10 : 409,324.54 = 160,646.66 : x
  2. Step 2: Convert to fraction form
    296,611.10/409,324.54 = 160,646.66/x
  3. Step 3: Cross multiply
    296,611.10x = 409,324.54 × 160,646.66
  4. Step 4: Simplify right side
    296,611.10x = 65,756,620,207.04
  5. Step 5: Solve for x
    x = 65,756,620,207.04/296,611.10
  6. Step 6: Final answer
    x = 221,693.05

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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.