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Finding the Fourth Proportional to 283,324.51, 422,913.86 and 249,695.29

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Solution

The fourth proportional to 283,324.51, 422,913.86 and 249,695.29 is: 372,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,324.51 : 422,913.86 = 249,695.29 : x
  2. Step 2: Convert to fraction form
    283,324.51/422,913.86 = 249,695.29/x
  3. Step 3: Cross multiply
    283,324.51x = 422,913.86 × 249,695.29
  4. Step 4: Simplify right side
    283,324.51x = 105,599,596,611.96
  5. Step 5: Solve for x
    x = 105,599,596,611.96/283,324.51
  6. Step 6: Final answer
    x = 372,716.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.