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Finding the Fourth Proportional to 296,479.14, 409,144.40 and 160,515.92

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Solution

The fourth proportional to 296,479.14, 409,144.40 and 160,515.92 is: 221,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,479.14 : 409,144.40 = 160,515.92 : x
  2. Step 2: Convert to fraction form
    296,479.14/409,144.40 = 160,515.92/x
  3. Step 3: Cross multiply
    296,479.14x = 409,144.40 × 160,515.92
  4. Step 4: Simplify right side
    296,479.14x = 65,674,189,778.85
  5. Step 5: Solve for x
    x = 65,674,189,778.85/296,479.14
  6. Step 6: Final answer
    x = 221,513.69

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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.