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Finding the Fourth Proportional to 328,871.30, 491,881.64 and 193,613.04

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Solution

The fourth proportional to 328,871.30, 491,881.64 and 193,613.04 is: 289,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,871.30 : 491,881.64 = 193,613.04 : x
  2. Step 2: Convert to fraction form
    328,871.30/491,881.64 = 193,613.04/x
  3. Step 3: Cross multiply
    328,871.30x = 491,881.64 × 193,613.04
  4. Step 4: Simplify right side
    328,871.30x = 95,234,699,640.59
  5. Step 5: Solve for x
    x = 95,234,699,640.59/328,871.30
  6. Step 6: Final answer
    x = 289,580.46

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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.