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Finding the Fourth Proportional to 349,194.87, 524,021.64 and 191,533.95

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Solution

The fourth proportional to 349,194.87, 524,021.64 and 191,533.95 is: 287,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,194.87 : 524,021.64 = 191,533.95 : x
  2. Step 2: Convert to fraction form
    349,194.87/524,021.64 = 191,533.95/x
  3. Step 3: Cross multiply
    349,194.87x = 524,021.64 × 191,533.95
  4. Step 4: Simplify right side
    349,194.87x = 100,367,934,594.68
  5. Step 5: Solve for x
    x = 100,367,934,594.68/349,194.87
  6. Step 6: Final answer
    x = 287,426.72

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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.