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Finding the Fourth Proportional to 219,262.57, 328,893.87 and 53,050.57

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Solution

The fourth proportional to 219,262.57, 328,893.87 and 53,050.57 is: 79,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,262.57 : 328,893.87 = 53,050.57 : x
  2. Step 2: Convert to fraction form
    219,262.57/328,893.87 = 53,050.57/x
  3. Step 3: Cross multiply
    219,262.57x = 328,893.87 × 53,050.57
  4. Step 4: Simplify right side
    219,262.57x = 17,448,007,276.32
  5. Step 5: Solve for x
    x = 17,448,007,276.32/219,262.57
  6. Step 6: Final answer
    x = 79,575.86

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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.