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Finding the Fourth Proportional to 354,584.24, 532,075 and 188,367.92

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Solution

The fourth proportional to 354,584.24, 532,075 and 188,367.92 is: 282,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,584.24 : 532,075 = 188,367.92 : x
  2. Step 2: Convert to fraction form
    354,584.24/532,075 = 188,367.92/x
  3. Step 3: Cross multiply
    354,584.24x = 532,075 × 188,367.92
  4. Step 4: Simplify right side
    354,584.24x = 100,225,861,034
  5. Step 5: Solve for x
    x = 100,225,861,034/354,584.24
  6. Step 6: Final answer
    x = 282,657.40

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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.