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Finding the Fourth Proportional to 338,145.65, 466,560.90 and 200,254.94

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Solution

The fourth proportional to 338,145.65, 466,560.90 and 200,254.94 is: 276,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,145.65 : 466,560.90 = 200,254.94 : x
  2. Step 2: Convert to fraction form
    338,145.65/466,560.90 = 200,254.94/x
  3. Step 3: Cross multiply
    338,145.65x = 466,560.90 × 200,254.94
  4. Step 4: Simplify right side
    338,145.65x = 93,431,122,703.04
  5. Step 5: Solve for x
    x = 93,431,122,703.04/338,145.65
  6. Step 6: Final answer
    x = 276,304.38

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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.