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Finding the Fourth Proportional to 458,947.92, 633,308.50 and 254,995.12

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Solution

The fourth proportional to 458,947.92, 633,308.50 and 254,995.12 is: 351,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,947.92 : 633,308.50 = 254,995.12 : x
  2. Step 2: Convert to fraction form
    458,947.92/633,308.50 = 254,995.12/x
  3. Step 3: Cross multiply
    458,947.92x = 633,308.50 × 254,995.12
  4. Step 4: Simplify right side
    458,947.92x = 161,490,576,954.52
  5. Step 5: Solve for x
    x = 161,490,576,954.52/458,947.92
  6. Step 6: Final answer
    x = 351,871.25

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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.