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Finding the Fourth Proportional to 296,674.17, 409,412.33 and 160,708.12

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Solution

The fourth proportional to 296,674.17, 409,412.33 and 160,708.12 is: 221,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,674.17 : 409,412.33 = 160,708.12 : x
  2. Step 2: Convert to fraction form
    296,674.17/409,412.33 = 160,708.12/x
  3. Step 3: Cross multiply
    296,674.17x = 409,412.33 × 160,708.12
  4. Step 4: Simplify right side
    296,674.17x = 65,795,885,859.12
  5. Step 5: Solve for x
    x = 65,795,885,859.12/296,674.17
  6. Step 6: Final answer
    x = 221,778.28

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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.