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Finding the Fourth Proportional to 311,585.40, 467,456.75 and 86,945.64

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Solution

The fourth proportional to 311,585.40, 467,456.75 and 86,945.64 is: 130,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,585.40 : 467,456.75 = 86,945.64 : x
  2. Step 2: Convert to fraction form
    311,585.40/467,456.75 = 86,945.64/x
  3. Step 3: Cross multiply
    311,585.40x = 467,456.75 × 86,945.64
  4. Step 4: Simplify right side
    311,585.40x = 40,643,326,301.07
  5. Step 5: Solve for x
    x = 40,643,326,301.07/311,585.40
  6. Step 6: Final answer
    x = 130,440.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.