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Finding the Fourth Proportional to 256,434.86, 353,893.66 and 154,492.41

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Solution

The fourth proportional to 256,434.86, 353,893.66 and 154,492.41 is: 213,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,434.86 : 353,893.66 = 154,492.41 : x
  2. Step 2: Convert to fraction form
    256,434.86/353,893.66 = 154,492.41/x
  3. Step 3: Cross multiply
    256,434.86x = 353,893.66 × 154,492.41
  4. Step 4: Simplify right side
    256,434.86x = 54,673,885,357.99
  5. Step 5: Solve for x
    x = 54,673,885,357.99/256,434.86
  6. Step 6: Final answer
    x = 213,207.69

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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.