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Finding the Fourth Proportional to 443,301.10, 664,015.65 and 293,613.10

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Solution

The fourth proportional to 443,301.10, 664,015.65 and 293,613.10 is: 439,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,301.10 : 664,015.65 = 293,613.10 : x
  2. Step 2: Convert to fraction form
    443,301.10/664,015.65 = 293,613.10/x
  3. Step 3: Cross multiply
    443,301.10x = 664,015.65 × 293,613.10
  4. Step 4: Simplify right side
    443,301.10x = 194,963,693,445.02
  5. Step 5: Solve for x
    x = 194,963,693,445.02/443,301.10
  6. Step 6: Final answer
    x = 439,799.71

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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.