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Finding the Fourth Proportional to 297,788, 446,419.50 and 110,668.28

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Solution

The fourth proportional to 297,788, 446,419.50 and 110,668.28 is: 165,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,788 : 446,419.50 = 110,668.28 : x
  2. Step 2: Convert to fraction form
    297,788/446,419.50 = 110,668.28/x
  3. Step 3: Cross multiply
    297,788x = 446,419.50 × 110,668.28
  4. Step 4: Simplify right side
    297,788x = 49,404,478,223.46
  5. Step 5: Solve for x
    x = 49,404,478,223.46/297,788
  6. Step 6: Final answer
    x = 165,904.87

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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.