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Finding the Fourth Proportional to 364,789.32, 547,376.64 and 258,857.82

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Solution

The fourth proportional to 364,789.32, 547,376.64 and 258,857.82 is: 388,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,789.32 : 547,376.64 = 258,857.82 : x
  2. Step 2: Convert to fraction form
    364,789.32/547,376.64 = 258,857.82/x
  3. Step 3: Cross multiply
    364,789.32x = 547,376.64 × 258,857.82
  4. Step 4: Simplify right side
    364,789.32x = 141,692,723,749.33
  5. Step 5: Solve for x
    x = 141,692,723,749.33/364,789.32
  6. Step 6: Final answer
    x = 388,423.44

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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.