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Finding the Fourth Proportional to 296,573.42, 409,269.26 and 160,604.26

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Solution

The fourth proportional to 296,573.42, 409,269.26 and 160,604.26 is: 221,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,573.42 : 409,269.26 = 160,604.26 : x
  2. Step 2: Convert to fraction form
    296,573.42/409,269.26 = 160,604.26/x
  3. Step 3: Cross multiply
    296,573.42x = 409,269.26 × 160,604.26
  4. Step 4: Simplify right side
    296,573.42x = 65,730,386,021.39
  5. Step 5: Solve for x
    x = 65,730,386,021.39/296,573.42
  6. Step 6: Final answer
    x = 221,632.76

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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.