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Finding the Fourth Proportional to 492,957.46, 680,281.74 and 266,602.96

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Solution

The fourth proportional to 492,957.46, 680,281.74 and 266,602.96 is: 367,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,957.46 : 680,281.74 = 266,602.96 : x
  2. Step 2: Convert to fraction form
    492,957.46/680,281.74 = 266,602.96/x
  3. Step 3: Cross multiply
    492,957.46x = 680,281.74 × 266,602.96
  4. Step 4: Simplify right side
    492,957.46x = 181,365,122,116.54
  5. Step 5: Solve for x
    x = 181,365,122,116.54/492,957.46
  6. Step 6: Final answer
    x = 367,912.32

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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.