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Finding the Fourth Proportional to 482,692.12, 724,155.23 and 145,712.63

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Solution

The fourth proportional to 482,692.12, 724,155.23 and 145,712.63 is: 218,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,692.12 : 724,155.23 = 145,712.63 : x
  2. Step 2: Convert to fraction form
    482,692.12/724,155.23 = 145,712.63/x
  3. Step 3: Cross multiply
    482,692.12x = 724,155.23 × 145,712.63
  4. Step 4: Simplify right side
    482,692.12x = 105,518,565,266.23
  5. Step 5: Solve for x
    x = 105,518,565,266.23/482,692.12
  6. Step 6: Final answer
    x = 218,604.29

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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.