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Finding the Fourth Proportional to 425,697.31, 589,998.10 and 417,725.70

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Solution

The fourth proportional to 425,697.31, 589,998.10 and 417,725.70 is: 578,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,697.31 : 589,998.10 = 417,725.70 : x
  2. Step 2: Convert to fraction form
    425,697.31/589,998.10 = 417,725.70/x
  3. Step 3: Cross multiply
    425,697.31x = 589,998.10 × 417,725.70
  4. Step 4: Simplify right side
    425,697.31x = 246,457,369,321.17
  5. Step 5: Solve for x
    x = 246,457,369,321.17/425,697.31
  6. Step 6: Final answer
    x = 578,949.79

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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.