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Finding the Fourth Proportional to 296,611.32, 409,321.32 and 160,642.08

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Solution

The fourth proportional to 296,611.32, 409,321.32 and 160,642.08 is: 221,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611.32 : 409,321.32 = 160,642.08 : x
  2. Step 2: Convert to fraction form
    296,611.32/409,321.32 = 160,642.08/x
  3. Step 3: Cross multiply
    296,611.32x = 409,321.32 × 160,642.08
  4. Step 4: Simplify right side
    296,611.32x = 65,754,228,233.15
  5. Step 5: Solve for x
    x = 65,754,228,233.15/296,611.32
  6. Step 6: Final answer
    x = 221,684.82

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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.