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Finding the Fourth Proportional to 542,940.41, 749,293.19 and 313,507.37

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Solution

The fourth proportional to 542,940.41, 749,293.19 and 313,507.37 is: 432,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,940.41 : 749,293.19 = 313,507.37 : x
  2. Step 2: Convert to fraction form
    542,940.41/749,293.19 = 313,507.37/x
  3. Step 3: Cross multiply
    542,940.41x = 749,293.19 × 313,507.37
  4. Step 4: Simplify right side
    542,940.41x = 234,908,932,041.81
  5. Step 5: Solve for x
    x = 234,908,932,041.81/542,940.41
  6. Step 6: Final answer
    x = 432,660.62

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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.