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Finding the Fourth Proportional to 298,492.68, 411,909.66 and 162,524.44

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Solution

The fourth proportional to 298,492.68, 411,909.66 and 162,524.44 is: 224,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,492.68 : 411,909.66 = 162,524.44 : x
  2. Step 2: Convert to fraction form
    298,492.68/411,909.66 = 162,524.44/x
  3. Step 3: Cross multiply
    298,492.68x = 411,909.66 × 162,524.44
  4. Step 4: Simplify right side
    298,492.68x = 66,945,386,822.09
  5. Step 5: Solve for x
    x = 66,945,386,822.09/298,492.68
  6. Step 6: Final answer
    x = 224,278.15

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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.