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Finding the Fourth Proportional to 493,647.70, 740,500.26 and 138,689.40

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Solution

The fourth proportional to 493,647.70, 740,500.26 and 138,689.40 is: 208,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,647.70 : 740,500.26 = 138,689.40 : x
  2. Step 2: Convert to fraction form
    493,647.70/740,500.26 = 138,689.40/x
  3. Step 3: Cross multiply
    493,647.70x = 740,500.26 × 138,689.40
  4. Step 4: Simplify right side
    493,647.70x = 102,699,536,759.24
  5. Step 5: Solve for x
    x = 102,699,536,759.24/493,647.70
  6. Step 6: Final answer
    x = 208,042.17

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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.