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Finding the Fourth Proportional to 385,733.50, 578,692.58 and 160,968.87

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Solution

The fourth proportional to 385,733.50, 578,692.58 and 160,968.87 is: 241,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,733.50 : 578,692.58 = 160,968.87 : x
  2. Step 2: Convert to fraction form
    385,733.50/578,692.58 = 160,968.87/x
  3. Step 3: Cross multiply
    385,733.50x = 578,692.58 × 160,968.87
  4. Step 4: Simplify right side
    385,733.50x = 93,151,490,679.98
  5. Step 5: Solve for x
    x = 93,151,490,679.98/385,733.50
  6. Step 6: Final answer
    x = 241,491.83

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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.