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Finding the Fourth Proportional to 296,478.15, 409,143.02 and 160,514.92

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Solution

The fourth proportional to 296,478.15, 409,143.02 and 160,514.92 is: 221,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,478.15 : 409,143.02 = 160,514.92 : x
  2. Step 2: Convert to fraction form
    296,478.15/409,143.02 = 160,514.92/x
  3. Step 3: Cross multiply
    296,478.15x = 409,143.02 × 160,514.92
  4. Step 4: Simplify right side
    296,478.15x = 65,673,559,123.86
  5. Step 5: Solve for x
    x = 65,673,559,123.86/296,478.15
  6. Step 6: Final answer
    x = 221,512.31

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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.