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Finding the Fourth Proportional to 296,381.70, 409,003.20 and 160,412.40

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Solution

The fourth proportional to 296,381.70, 409,003.20 and 160,412.40 is: 221,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,381.70 : 409,003.20 = 160,412.40 : x
  2. Step 2: Convert to fraction form
    296,381.70/409,003.20 = 160,412.40/x
  3. Step 3: Cross multiply
    296,381.70x = 409,003.20 × 160,412.40
  4. Step 4: Simplify right side
    296,381.70x = 65,609,184,919.68
  5. Step 5: Solve for x
    x = 65,609,184,919.68/296,381.70
  6. Step 6: Final answer
    x = 221,367.19

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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.