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Finding the Fourth Proportional to 299,613, 413,492.22 and 165,502.92

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Solution

The fourth proportional to 299,613, 413,492.22 and 165,502.92 is: 228,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,613 : 413,492.22 = 165,502.92 : x
  2. Step 2: Convert to fraction form
    299,613/413,492.22 = 165,502.92/x
  3. Step 3: Cross multiply
    299,613x = 413,492.22 × 165,502.92
  4. Step 4: Simplify right side
    299,613x = 68,434,169,807.28
  5. Step 5: Solve for x
    x = 68,434,169,807.28/299,613
  6. Step 6: Final answer
    x = 228,408.55

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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.