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Finding the Fourth Proportional to 525,959.22, 725,823.93 and 284,241.72

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Solution

The fourth proportional to 525,959.22, 725,823.93 and 284,241.72 is: 392,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,959.22 : 725,823.93 = 284,241.72 : x
  2. Step 2: Convert to fraction form
    525,959.22/725,823.93 = 284,241.72/x
  3. Step 3: Cross multiply
    525,959.22x = 725,823.93 × 284,241.72
  4. Step 4: Simplify right side
    525,959.22x = 206,309,442,280.36
  5. Step 5: Solve for x
    x = 206,309,442,280.36/525,959.22
  6. Step 6: Final answer
    x = 392,253.69

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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.