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Finding the Fourth Proportional to 492,971.24, 680,300.34 and 266,616.68

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Solution

The fourth proportional to 492,971.24, 680,300.34 and 266,616.68 is: 367,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,971.24 : 680,300.34 = 266,616.68 : x
  2. Step 2: Convert to fraction form
    492,971.24/680,300.34 = 266,616.68/x
  3. Step 3: Cross multiply
    492,971.24x = 680,300.34 × 266,616.68
  4. Step 4: Simplify right side
    492,971.24x = 181,379,418,053.67
  5. Step 5: Solve for x
    x = 181,379,418,053.67/492,971.24
  6. Step 6: Final answer
    x = 367,931.03

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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.