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Finding the Fourth Proportional to 364,443.08, 502,943.94 and 211,469.72

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Solution

The fourth proportional to 364,443.08, 502,943.94 and 211,469.72 is: 291,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,443.08 : 502,943.94 = 211,469.72 : x
  2. Step 2: Convert to fraction form
    364,443.08/502,943.94 = 211,469.72/x
  3. Step 3: Cross multiply
    364,443.08x = 502,943.94 × 211,469.72
  4. Step 4: Simplify right side
    364,443.08x = 106,357,414,167.50
  5. Step 5: Solve for x
    x = 106,357,414,167.50/364,443.08
  6. Step 6: Final answer
    x = 291,835.46

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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.