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Finding the Fourth Proportional to 492,966.46, 680,293.72 and 266,611.96

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Solution

The fourth proportional to 492,966.46, 680,293.72 and 266,611.96 is: 367,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,966.46 : 680,293.72 = 266,611.96 : x
  2. Step 2: Convert to fraction form
    492,966.46/680,293.72 = 266,611.96/x
  3. Step 3: Cross multiply
    492,966.46x = 680,293.72 × 266,611.96
  4. Step 4: Simplify right side
    492,966.46x = 181,374,442,064.89
  5. Step 5: Solve for x
    x = 181,374,442,064.89/492,966.46
  6. Step 6: Final answer
    x = 367,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.