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Finding the Fourth Proportional to 295,734.56, 443,554.32 and 82,508

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Solution

The fourth proportional to 295,734.56, 443,554.32 and 82,508 is: 123,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,734.56 : 443,554.32 = 82,508 : x
  2. Step 2: Convert to fraction form
    295,734.56/443,554.32 = 82,508/x
  3. Step 3: Cross multiply
    295,734.56x = 443,554.32 × 82,508
  4. Step 4: Simplify right side
    295,734.56x = 36,596,779,834.56
  5. Step 5: Solve for x
    x = 36,596,779,834.56/295,734.56
  6. Step 6: Final answer
    x = 123,748.74

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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.