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Finding the Fourth Proportional to 357,215.68, 492,955.91 and 196,073.47

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Solution

The fourth proportional to 357,215.68, 492,955.91 and 196,073.47 is: 270,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,215.68 : 492,955.91 = 196,073.47 : x
  2. Step 2: Convert to fraction form
    357,215.68/492,955.91 = 196,073.47/x
  3. Step 3: Cross multiply
    357,215.68x = 492,955.91 × 196,073.47
  4. Step 4: Simplify right side
    357,215.68x = 96,655,576,201.81
  5. Step 5: Solve for x
    x = 96,655,576,201.81/357,215.68
  6. Step 6: Final answer
    x = 270,580.44

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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.