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Finding the Fourth Proportional to 328,032.10, 491,738.55 and 178,051.30

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Solution

The fourth proportional to 328,032.10, 491,738.55 and 178,051.30 is: 266,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,032.10 : 491,738.55 = 178,051.30 : x
  2. Step 2: Convert to fraction form
    328,032.10/491,738.55 = 178,051.30/x
  3. Step 3: Cross multiply
    328,032.10x = 491,738.55 × 178,051.30
  4. Step 4: Simplify right side
    328,032.10x = 87,554,688,087.62
  5. Step 5: Solve for x
    x = 87,554,688,087.62/328,032.10
  6. Step 6: Final answer
    x = 266,908.90

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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.