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Finding the Fourth Proportional to 501,950.68, 692,692.46 and 298,042.32

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Solution

The fourth proportional to 501,950.68, 692,692.46 and 298,042.32 is: 411,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,950.68 : 692,692.46 = 298,042.32 : x
  2. Step 2: Convert to fraction form
    501,950.68/692,692.46 = 298,042.32/x
  3. Step 3: Cross multiply
    501,950.68x = 692,692.46 × 298,042.32
  4. Step 4: Simplify right side
    501,950.68x = 206,451,667,824.91
  5. Step 5: Solve for x
    x = 206,451,667,824.91/501,950.68
  6. Step 6: Final answer
    x = 411,298.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.