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Finding the Fourth Proportional to 492,761.40, 739,142.10 and 492,761.40

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Solution

The fourth proportional to 492,761.40, 739,142.10 and 492,761.40 is: 739,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,761.40 : 739,142.10 = 492,761.40 : x
  2. Step 2: Convert to fraction form
    492,761.40/739,142.10 = 492,761.40/x
  3. Step 3: Cross multiply
    492,761.40x = 739,142.10 × 492,761.40
  4. Step 4: Simplify right side
    492,761.40x = 364,220,695,994.94
  5. Step 5: Solve for x
    x = 364,220,695,994.94/492,761.40
  6. Step 6: Final answer
    x = 739,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.