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Finding the Fourth Proportional to 296,484.57, 409,145.70 and 160,514.91

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Solution

The fourth proportional to 296,484.57, 409,145.70 and 160,514.91 is: 221,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.57 : 409,145.70 = 160,514.91 : x
  2. Step 2: Convert to fraction form
    296,484.57/409,145.70 = 160,514.91/x
  3. Step 3: Cross multiply
    296,484.57x = 409,145.70 × 160,514.91
  4. Step 4: Simplify right side
    296,484.57x = 65,673,985,212.39
  5. Step 5: Solve for x
    x = 65,673,985,212.39/296,484.57
  6. Step 6: Final answer
    x = 221,508.95

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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.