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Finding the Fourth Proportional to 296,638.88, 409,359.15 and 160,669.62

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Solution

The fourth proportional to 296,638.88, 409,359.15 and 160,669.62 is: 221,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,638.88 : 409,359.15 = 160,669.62 : x
  2. Step 2: Convert to fraction form
    296,638.88/409,359.15 = 160,669.62/x
  3. Step 3: Cross multiply
    296,638.88x = 409,359.15 × 160,669.62
  4. Step 4: Simplify right side
    296,638.88x = 65,771,579,074.02
  5. Step 5: Solve for x
    x = 65,771,579,074.02/296,638.88
  6. Step 6: Final answer
    x = 221,722.72

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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.