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Finding the Fourth Proportional to 297,506.06, 446,259.13 and 75,890.06

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Solution

The fourth proportional to 297,506.06, 446,259.13 and 75,890.06 is: 113,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,506.06 : 446,259.13 = 75,890.06 : x
  2. Step 2: Convert to fraction form
    297,506.06/446,259.13 = 75,890.06/x
  3. Step 3: Cross multiply
    297,506.06x = 446,259.13 × 75,890.06
  4. Step 4: Simplify right side
    297,506.06x = 33,866,632,151.25
  5. Step 5: Solve for x
    x = 33,866,632,151.25/297,506.06
  6. Step 6: Final answer
    x = 113,835.10

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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.