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Finding the Fourth Proportional to 364,689.84, 547,227.50 and 258,758.42

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Solution

The fourth proportional to 364,689.84, 547,227.50 and 258,758.42 is: 388,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,689.84 : 547,227.50 = 258,758.42 : x
  2. Step 2: Convert to fraction form
    364,689.84/547,227.50 = 258,758.42/x
  3. Step 3: Cross multiply
    364,689.84x = 547,227.50 × 258,758.42
  4. Step 4: Simplify right side
    364,689.84x = 141,599,719,250.62
  5. Step 5: Solve for x
    x = 141,599,719,250.62/364,689.84
  6. Step 6: Final answer
    x = 388,274.37

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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.