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Finding the Fourth Proportional to 502,084.98, 692,081.01 and 492,131.70

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Solution

The fourth proportional to 502,084.98, 692,081.01 and 492,131.70 is: 678,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,084.98 : 692,081.01 = 492,131.70 : x
  2. Step 2: Convert to fraction form
    502,084.98/692,081.01 = 492,131.70/x
  3. Step 3: Cross multiply
    502,084.98x = 692,081.01 × 492,131.70
  4. Step 4: Simplify right side
    502,084.98x = 340,595,003,989.02
  5. Step 5: Solve for x
    x = 340,595,003,989.02/502,084.98
  6. Step 6: Final answer
    x = 678,361.27

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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.