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Finding the Fourth Proportional to 534,814.60, 802,221.90 and 456,082.60

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Solution

The fourth proportional to 534,814.60, 802,221.90 and 456,082.60 is: 684,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,814.60 : 802,221.90 = 456,082.60 : x
  2. Step 2: Convert to fraction form
    534,814.60/802,221.90 = 456,082.60/x
  3. Step 3: Cross multiply
    534,814.60x = 802,221.90 × 456,082.60
  4. Step 4: Simplify right side
    534,814.60x = 365,879,449,928.94
  5. Step 5: Solve for x
    x = 365,879,449,928.94/534,814.60
  6. Step 6: Final answer
    x = 684,123.90

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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.