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Finding the Fourth Proportional to 357,419.97, 492,822.86 and 266,618.30

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Solution

The fourth proportional to 357,419.97, 492,822.86 and 266,618.30 is: 367,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,419.97 : 492,822.86 = 266,618.30 : x
  2. Step 2: Convert to fraction form
    357,419.97/492,822.86 = 266,618.30/x
  3. Step 3: Cross multiply
    357,419.97x = 492,822.86 × 266,618.30
  4. Step 4: Simplify right side
    357,419.97x = 131,395,589,337.13
  5. Step 5: Solve for x
    x = 131,395,589,337.13/357,419.97
  6. Step 6: Final answer
    x = 367,622.41

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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.