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Finding the Fourth Proportional to 355,206.44, 532,350.38 and 265,758.14

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Solution

The fourth proportional to 355,206.44, 532,350.38 and 265,758.14 is: 398,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,206.44 : 532,350.38 = 265,758.14 : x
  2. Step 2: Convert to fraction form
    355,206.44/532,350.38 = 265,758.14/x
  3. Step 3: Cross multiply
    355,206.44x = 532,350.38 × 265,758.14
  4. Step 4: Simplify right side
    355,206.44x = 141,476,444,819.74
  5. Step 5: Solve for x
    x = 141,476,444,819.74/355,206.44
  6. Step 6: Final answer
    x = 398,293.59

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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.