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Finding the Fourth Proportional to 295,671.12, 407,546.82 and 231,027.36

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Solution

The fourth proportional to 295,671.12, 407,546.82 and 231,027.36 is: 318,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,671.12 : 407,546.82 = 231,027.36 : x
  2. Step 2: Convert to fraction form
    295,671.12/407,546.82 = 231,027.36/x
  3. Step 3: Cross multiply
    295,671.12x = 407,546.82 × 231,027.36
  4. Step 4: Simplify right side
    295,671.12x = 94,154,465,901.00
  5. Step 5: Solve for x
    x = 94,154,465,901.00/295,671.12
  6. Step 6: Final answer
    x = 318,443.23

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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.