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Finding the Fourth Proportional to 523,771.71, 785,702.88 and 144,692.34

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Solution

The fourth proportional to 523,771.71, 785,702.88 and 144,692.34 is: 217,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771.71 : 785,702.88 = 144,692.34 : x
  2. Step 2: Convert to fraction form
    523,771.71/785,702.88 = 144,692.34/x
  3. Step 3: Cross multiply
    523,771.71x = 785,702.88 × 144,692.34
  4. Step 4: Simplify right side
    523,771.71x = 113,685,188,251.94
  5. Step 5: Solve for x
    x = 113,685,188,251.94/523,771.71
  6. Step 6: Final answer
    x = 217,051.03

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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.