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Finding the Fourth Proportional to 540,435.08, 810,458.22 and 185,357

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Solution

The fourth proportional to 540,435.08, 810,458.22 and 185,357 is: 277,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,435.08 : 810,458.22 = 185,357 : x
  2. Step 2: Convert to fraction form
    540,435.08/810,458.22 = 185,357/x
  3. Step 3: Cross multiply
    540,435.08x = 810,458.22 × 185,357
  4. Step 4: Simplify right side
    540,435.08x = 150,224,104,284.54
  5. Step 5: Solve for x
    x = 150,224,104,284.54/540,435.08
  6. Step 6: Final answer
    x = 277,968.83

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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.