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Finding the Fourth Proportional to 339,756.42, 468,864.15 and 186,797.20

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Solution

The fourth proportional to 339,756.42, 468,864.15 and 186,797.20 is: 257,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,756.42 : 468,864.15 = 186,797.20 : x
  2. Step 2: Convert to fraction form
    339,756.42/468,864.15 = 186,797.20/x
  3. Step 3: Cross multiply
    339,756.42x = 468,864.15 × 186,797.20
  4. Step 4: Simplify right side
    339,756.42x = 87,582,510,400.38
  5. Step 5: Solve for x
    x = 87,582,510,400.38/339,756.42
  6. Step 6: Final answer
    x = 257,780.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.