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Finding the Fourth Proportional to 731,608.34, 1,009,658.73 and 409,299.21

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Solution

The fourth proportional to 731,608.34, 1,009,658.73 and 409,299.21 is: 564,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,608.34 : 1,009,658.73 = 409,299.21 : x
  2. Step 2: Convert to fraction form
    731,608.34/1,009,658.73 = 409,299.21/x
  3. Step 3: Cross multiply
    731,608.34x = 1,009,658.73 × 409,299.21
  4. Step 4: Simplify right side
    731,608.34x = 413,252,520,558.60
  5. Step 5: Solve for x
    x = 413,252,520,558.60/731,608.34
  6. Step 6: Final answer
    x = 564,854.86

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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.