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Finding the Fourth Proportional to 296,455.66, 409,108.30 and 160,489.56

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Solution

The fourth proportional to 296,455.66, 409,108.30 and 160,489.56 is: 221,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,455.66 : 409,108.30 = 160,489.56 : x
  2. Step 2: Convert to fraction form
    296,455.66/409,108.30 = 160,489.56/x
  3. Step 3: Cross multiply
    296,455.66x = 409,108.30 × 160,489.56
  4. Step 4: Simplify right side
    296,455.66x = 65,657,611,059.35
  5. Step 5: Solve for x
    x = 65,657,611,059.35/296,455.66
  6. Step 6: Final answer
    x = 221,475.32

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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.