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Finding the Fourth Proportional to 295,514.60, 443,271.90 and 82,282.10

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Solution

The fourth proportional to 295,514.60, 443,271.90 and 82,282.10 is: 123,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,514.60 : 443,271.90 = 82,282.10 : x
  2. Step 2: Convert to fraction form
    295,514.60/443,271.90 = 82,282.10/x
  3. Step 3: Cross multiply
    295,514.60x = 443,271.90 × 82,282.10
  4. Step 4: Simplify right side
    295,514.60x = 36,473,342,802.99
  5. Step 5: Solve for x
    x = 36,473,342,802.99/295,514.60
  6. Step 6: Final answer
    x = 123,423.15

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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.