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Finding the Fourth Proportional to 328,894.84, 493,492.92 and 178,910.38

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Solution

The fourth proportional to 328,894.84, 493,492.92 and 178,910.38 is: 268,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,894.84 : 493,492.92 = 178,910.38 : x
  2. Step 2: Convert to fraction form
    328,894.84/493,492.92 = 178,910.38/x
  3. Step 3: Cross multiply
    328,894.84x = 493,492.92 × 178,910.38
  4. Step 4: Simplify right side
    328,894.84x = 88,291,005,844.51
  5. Step 5: Solve for x
    x = 88,291,005,844.51/328,894.84
  6. Step 6: Final answer
    x = 268,447.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.