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Finding the Fourth Proportional to 589,583.44, 813,646.92 and 334,977.76

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Solution

The fourth proportional to 589,583.44, 813,646.92 and 334,977.76 is: 462,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,583.44 : 813,646.92 = 334,977.76 : x
  2. Step 2: Convert to fraction form
    589,583.44/813,646.92 = 334,977.76/x
  3. Step 3: Cross multiply
    589,583.44x = 813,646.92 × 334,977.76
  4. Step 4: Simplify right side
    589,583.44x = 272,553,622,692.50
  5. Step 5: Solve for x
    x = 272,553,622,692.50/589,583.44
  6. Step 6: Final answer
    x = 462,281.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.