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Finding the Fourth Proportional to 952,325.84, 1,428,447.80 and 287,458

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Solution

The fourth proportional to 952,325.84, 1,428,447.80 and 287,458 is: 431,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,325.84 : 1,428,447.80 = 287,458 : x
  2. Step 2: Convert to fraction form
    952,325.84/1,428,447.80 = 287,458/x
  3. Step 3: Cross multiply
    952,325.84x = 1,428,447.80 × 287,458
  4. Step 4: Simplify right side
    952,325.84x = 410,618,747,692.40
  5. Step 5: Solve for x
    x = 410,618,747,692.40/952,325.84
  6. Step 6: Final answer
    x = 431,174.64

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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.