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Finding the Fourth Proportional to 362,221.90, 542,814.45 and 251,284.30

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Solution

The fourth proportional to 362,221.90, 542,814.45 and 251,284.30 is: 376,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,221.90 : 542,814.45 = 251,284.30 : x
  2. Step 2: Convert to fraction form
    362,221.90/542,814.45 = 251,284.30/x
  3. Step 3: Cross multiply
    362,221.90x = 542,814.45 × 251,284.30
  4. Step 4: Simplify right side
    362,221.90x = 136,400,749,098.14
  5. Step 5: Solve for x
    x = 136,400,749,098.14/362,221.90
  6. Step 6: Final answer
    x = 376,566.82

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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.