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Finding the Fourth Proportional to 391,498.38, 540,305.46 and 219,415.50

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Solution

The fourth proportional to 391,498.38, 540,305.46 and 219,415.50 is: 302,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,498.38 : 540,305.46 = 219,415.50 : x
  2. Step 2: Convert to fraction form
    391,498.38/540,305.46 = 219,415.50/x
  3. Step 3: Cross multiply
    391,498.38x = 540,305.46 × 219,415.50
  4. Step 4: Simplify right side
    391,498.38x = 118,551,392,658.63
  5. Step 5: Solve for x
    x = 118,551,392,658.63/391,498.38
  6. Step 6: Final answer
    x = 302,814.52

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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.