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Finding the Fourth Proportional to 712,177.65, 982,648.04 and 421,644.96

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Solution

The fourth proportional to 712,177.65, 982,648.04 and 421,644.96 is: 581,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,177.65 : 982,648.04 = 421,644.96 : x
  2. Step 2: Convert to fraction form
    712,177.65/982,648.04 = 421,644.96/x
  3. Step 3: Cross multiply
    712,177.65x = 982,648.04 × 421,644.96
  4. Step 4: Simplify right side
    712,177.65x = 414,328,591,411.65
  5. Step 5: Solve for x
    x = 414,328,591,411.65/712,177.65
  6. Step 6: Final answer
    x = 581,777.02

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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.