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Finding the Fourth Proportional to 492,795.82, 680,059.25 and 266,441.32

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Solution

The fourth proportional to 492,795.82, 680,059.25 and 266,441.32 is: 367,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,795.82 : 680,059.25 = 266,441.32 : x
  2. Step 2: Convert to fraction form
    492,795.82/680,059.25 = 266,441.32/x
  3. Step 3: Cross multiply
    492,795.82x = 680,059.25 × 266,441.32
  4. Step 4: Simplify right side
    492,795.82x = 181,195,884,248.21
  5. Step 5: Solve for x
    x = 181,195,884,248.21/492,795.82
  6. Step 6: Final answer
    x = 367,689.57

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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.