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Finding the Fourth Proportional to 297,513, 446,269.50 and 75,897

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Solution

The fourth proportional to 297,513, 446,269.50 and 75,897 is: 113,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,513 : 446,269.50 = 75,897 : x
  2. Step 2: Convert to fraction form
    297,513/446,269.50 = 75,897/x
  3. Step 3: Cross multiply
    297,513x = 446,269.50 × 75,897
  4. Step 4: Simplify right side
    297,513x = 33,870,516,241.50
  5. Step 5: Solve for x
    x = 33,870,516,241.50/297,513
  6. Step 6: Final answer
    x = 113,845.50

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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.