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Finding the Fourth Proportional to 296,443.40, 409,091.46 and 160,476.68

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Solution

The fourth proportional to 296,443.40, 409,091.46 and 160,476.68 is: 221,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,443.40 : 409,091.46 = 160,476.68 : x
  2. Step 2: Convert to fraction form
    296,443.40/409,091.46 = 160,476.68/x
  3. Step 3: Cross multiply
    296,443.40x = 409,091.46 × 160,476.68
  4. Step 4: Simplify right side
    296,443.40x = 65,649,639,317.15
  5. Step 5: Solve for x
    x = 65,649,639,317.15/296,443.40
  6. Step 6: Final answer
    x = 221,457.58

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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.