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Finding the Fourth Proportional to 295,705.60, 443,558.40 and 82,473.10

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Solution

The fourth proportional to 295,705.60, 443,558.40 and 82,473.10 is: 123,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.60 : 443,558.40 = 82,473.10 : x
  2. Step 2: Convert to fraction form
    295,705.60/443,558.40 = 82,473.10/x
  3. Step 3: Cross multiply
    295,705.60x = 443,558.40 × 82,473.10
  4. Step 4: Simplify right side
    295,705.60x = 36,581,636,279.04
  5. Step 5: Solve for x
    x = 36,581,636,279.04/295,705.60
  6. Step 6: Final answer
    x = 123,709.65

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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.