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Finding the Fourth Proportional to 491,937.40, 738,078.90 and 176,404.60

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Solution

The fourth proportional to 491,937.40, 738,078.90 and 176,404.60 is: 264,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,937.40 : 738,078.90 = 176,404.60 : x
  2. Step 2: Convert to fraction form
    491,937.40/738,078.90 = 176,404.60/x
  3. Step 3: Cross multiply
    491,937.40x = 738,078.90 × 176,404.60
  4. Step 4: Simplify right side
    491,937.40x = 130,200,513,122.94
  5. Step 5: Solve for x
    x = 130,200,513,122.94/491,937.40
  6. Step 6: Final answer
    x = 264,668.86

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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.