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Finding the Fourth Proportional to 378,525.67, 567,622.32 and 141,702.26

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Solution

The fourth proportional to 378,525.67, 567,622.32 and 141,702.26 is: 212,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,525.67 : 567,622.32 = 141,702.26 : x
  2. Step 2: Convert to fraction form
    378,525.67/567,622.32 = 141,702.26/x
  3. Step 3: Cross multiply
    378,525.67x = 567,622.32 × 141,702.26
  4. Step 4: Simplify right side
    378,525.67x = 80,433,364,151.39
  5. Step 5: Solve for x
    x = 80,433,364,151.39/378,525.67
  6. Step 6: Final answer
    x = 212,491.17

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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.