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Finding the Fourth Proportional to 456,276.50, 684,186.34 and 140,692.40

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Solution

The fourth proportional to 456,276.50, 684,186.34 and 140,692.40 is: 210,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,276.50 : 684,186.34 = 140,692.40 : x
  2. Step 2: Convert to fraction form
    456,276.50/684,186.34 = 140,692.40/x
  3. Step 3: Cross multiply
    456,276.50x = 684,186.34 × 140,692.40
  4. Step 4: Simplify right side
    456,276.50x = 96,259,818,221.82
  5. Step 5: Solve for x
    x = 96,259,818,221.82/456,276.50
  6. Step 6: Final answer
    x = 210,968.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.