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Finding the Fourth Proportional to 492,896.66, 680,197.68 and 266,542.16

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Solution

The fourth proportional to 492,896.66, 680,197.68 and 266,542.16 is: 367,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,896.66 : 680,197.68 = 266,542.16 : x
  2. Step 2: Convert to fraction form
    492,896.66/680,197.68 = 266,542.16/x
  3. Step 3: Cross multiply
    492,896.66x = 680,197.68 × 266,542.16
  4. Step 4: Simplify right side
    492,896.66x = 181,301,358,854.19
  5. Step 5: Solve for x
    x = 181,301,358,854.19/492,896.66
  6. Step 6: Final answer
    x = 367,828.34

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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.