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Finding the Fourth Proportional to 425,714.87, 590,022.43 and 417,743.26

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Solution

The fourth proportional to 425,714.87, 590,022.43 and 417,743.26 is: 578,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,714.87 : 590,022.43 = 417,743.26 : x
  2. Step 2: Convert to fraction form
    425,714.87/590,022.43 = 417,743.26/x
  3. Step 3: Cross multiply
    425,714.87x = 590,022.43 × 417,743.26
  4. Step 4: Simplify right side
    425,714.87x = 246,477,890,861.91
  5. Step 5: Solve for x
    x = 246,477,890,861.91/425,714.87
  6. Step 6: Final answer
    x = 578,974.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.