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Finding the Fourth Proportional to 420,740.80, 580,644.06 and 257,346.09

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Solution

The fourth proportional to 420,740.80, 580,644.06 and 257,346.09 is: 355,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,740.80 : 580,644.06 = 257,346.09 : x
  2. Step 2: Convert to fraction form
    420,740.80/580,644.06 = 257,346.09/x
  3. Step 3: Cross multiply
    420,740.80x = 580,644.06 × 257,346.09
  4. Step 4: Simplify right side
    420,740.80x = 149,426,478,522.73
  5. Step 5: Solve for x
    x = 149,426,478,522.73/420,740.80
  6. Step 6: Final answer
    x = 355,150.91

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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.