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Finding the Fourth Proportional to 712,185.16, 982,658.36 and 421,652.46

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Solution

The fourth proportional to 712,185.16, 982,658.36 and 421,652.46 is: 581,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,185.16 : 982,658.36 = 421,652.46 : x
  2. Step 2: Convert to fraction form
    712,185.16/982,658.36 = 421,652.46/x
  3. Step 3: Cross multiply
    712,185.16x = 982,658.36 × 421,652.46
  4. Step 4: Simplify right side
    712,185.16x = 414,340,314,833.57
  5. Step 5: Solve for x
    x = 414,340,314,833.57/712,185.16
  6. Step 6: Final answer
    x = 581,787.35

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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.