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Finding the Fourth Proportional to 497,863.93, 746,550.14 and 217,259.77

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Solution

The fourth proportional to 497,863.93, 746,550.14 and 217,259.77 is: 325,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,863.93 : 746,550.14 = 217,259.77 : x
  2. Step 2: Convert to fraction form
    497,863.93/746,550.14 = 217,259.77/x
  3. Step 3: Cross multiply
    497,863.93x = 746,550.14 × 217,259.77
  4. Step 4: Simplify right side
    497,863.93x = 162,195,310,623.57
  5. Step 5: Solve for x
    x = 162,195,310,623.57/497,863.93
  6. Step 6: Final answer
    x = 325,782.41

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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.