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Finding the Fourth Proportional to 685,314.72, 945,822.42 and 413,529.30

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Solution

The fourth proportional to 685,314.72, 945,822.42 and 413,529.30 is: 570,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,314.72 : 945,822.42 = 413,529.30 : x
  2. Step 2: Convert to fraction form
    685,314.72/945,822.42 = 413,529.30/x
  3. Step 3: Cross multiply
    685,314.72x = 945,822.42 × 413,529.30
  4. Step 4: Simplify right side
    685,314.72x = 391,125,283,266.91
  5. Step 5: Solve for x
    x = 391,125,283,266.91/685,314.72
  6. Step 6: Final answer
    x = 570,723.60

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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.