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Finding the Fourth Proportional to 491,726.09, 737,720.39 and 176,214.89

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Solution

The fourth proportional to 491,726.09, 737,720.39 and 176,214.89 is: 264,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,726.09 : 737,720.39 = 176,214.89 : x
  2. Step 2: Convert to fraction form
    491,726.09/737,720.39 = 176,214.89/x
  3. Step 3: Cross multiply
    491,726.09x = 737,720.39 × 176,214.89
  4. Step 4: Simplify right side
    491,726.09x = 129,997,317,374.61
  5. Step 5: Solve for x
    x = 129,997,317,374.61/491,726.09
  6. Step 6: Final answer
    x = 264,369.37

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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.