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Finding the Fourth Proportional to 475,924.68, 713,601.77 and 223,260.57

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Solution

The fourth proportional to 475,924.68, 713,601.77 and 223,260.57 is: 334,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,924.68 : 713,601.77 = 223,260.57 : x
  2. Step 2: Convert to fraction form
    475,924.68/713,601.77 = 223,260.57/x
  3. Step 3: Cross multiply
    475,924.68x = 713,601.77 × 223,260.57
  4. Step 4: Simplify right side
    475,924.68x = 159,319,136,806.91
  5. Step 5: Solve for x
    x = 159,319,136,806.91/475,924.68
  6. Step 6: Final answer
    x = 334,757.04

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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.