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Finding the Fourth Proportional to 493,186.68, 680,597.62 and 266,832.18

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Solution

The fourth proportional to 493,186.68, 680,597.62 and 266,832.18 is: 368,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,186.68 : 680,597.62 = 266,832.18 : x
  2. Step 2: Convert to fraction form
    493,186.68/680,597.62 = 266,832.18/x
  3. Step 3: Cross multiply
    493,186.68x = 680,597.62 × 266,832.18
  4. Step 4: Simplify right side
    493,186.68x = 181,605,346,647.41
  5. Step 5: Solve for x
    x = 181,605,346,647.41/493,186.68
  6. Step 6: Final answer
    x = 368,228.41

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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.