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Finding the Fourth Proportional to 295,563.60, 443,345.40 and 82,331.10

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Solution

The fourth proportional to 295,563.60, 443,345.40 and 82,331.10 is: 123,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,563.60 : 443,345.40 = 82,331.10 : x
  2. Step 2: Convert to fraction form
    295,563.60/443,345.40 = 82,331.10/x
  3. Step 3: Cross multiply
    295,563.60x = 443,345.40 × 82,331.10
  4. Step 4: Simplify right side
    295,563.60x = 36,501,114,461.94
  5. Step 5: Solve for x
    x = 36,501,114,461.94/295,563.60
  6. Step 6: Final answer
    x = 123,496.65

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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.