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Finding the Fourth Proportional to 535,147.36, 738,511.92 and 293,452

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Solution

The fourth proportional to 535,147.36, 738,511.92 and 293,452 is: 404,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,147.36 : 738,511.92 = 293,452 : x
  2. Step 2: Convert to fraction form
    535,147.36/738,511.92 = 293,452/x
  3. Step 3: Cross multiply
    535,147.36x = 738,511.92 × 293,452
  4. Step 4: Simplify right side
    535,147.36x = 216,717,799,947.84
  5. Step 5: Solve for x
    x = 216,717,799,947.84/535,147.36
  6. Step 6: Final answer
    x = 404,968.46

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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.