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Finding the Fourth Proportional to 523,692.41, 785,883.06 and 287,201.16

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Solution

The fourth proportional to 523,692.41, 785,883.06 and 287,201.16 is: 430,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,692.41 : 785,883.06 = 287,201.16 : x
  2. Step 2: Convert to fraction form
    523,692.41/785,883.06 = 287,201.16/x
  3. Step 3: Cross multiply
    523,692.41x = 785,883.06 × 287,201.16
  4. Step 4: Simplify right side
    523,692.41x = 225,706,526,456.35
  5. Step 5: Solve for x
    x = 225,706,526,456.35/523,692.41
  6. Step 6: Final answer
    x = 430,990.64

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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.