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Finding the Fourth Proportional to 297,515, 446,272.50 and 75,899

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Solution

The fourth proportional to 297,515, 446,272.50 and 75,899 is: 113,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,515 : 446,272.50 = 75,899 : x
  2. Step 2: Convert to fraction form
    297,515/446,272.50 = 75,899/x
  3. Step 3: Cross multiply
    297,515x = 446,272.50 × 75,899
  4. Step 4: Simplify right side
    297,515x = 33,871,636,477.50
  5. Step 5: Solve for x
    x = 33,871,636,477.50/297,515
  6. Step 6: Final answer
    x = 113,848.50

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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.