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Finding the Fourth Proportional to 309,142.67, 428,799.51 and 300,948.71

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Solution

The fourth proportional to 309,142.67, 428,799.51 and 300,948.71 is: 417,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,142.67 : 428,799.51 = 300,948.71 : x
  2. Step 2: Convert to fraction form
    309,142.67/428,799.51 = 300,948.71/x
  3. Step 3: Cross multiply
    309,142.67x = 428,799.51 × 300,948.71
  4. Step 4: Simplify right side
    309,142.67x = 129,046,657,878.39
  5. Step 5: Solve for x
    x = 129,046,657,878.39/309,142.67
  6. Step 6: Final answer
    x = 417,433.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.