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Finding the Fourth Proportional to 296,591.15, 409,296.32 and 160,624.70

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Solution

The fourth proportional to 296,591.15, 409,296.32 and 160,624.70 is: 221,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,591.15 : 409,296.32 = 160,624.70 : x
  2. Step 2: Convert to fraction form
    296,591.15/409,296.32 = 160,624.70/x
  3. Step 3: Cross multiply
    296,591.15x = 409,296.32 × 160,624.70
  4. Step 4: Simplify right side
    296,591.15x = 65,743,101,104.51
  5. Step 5: Solve for x
    x = 65,743,101,104.51/296,591.15
  6. Step 6: Final answer
    x = 221,662.38

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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.