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Finding the Fourth Proportional to 535,269.76, 738,682.34 and 293,537.88

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Solution

The fourth proportional to 535,269.76, 738,682.34 and 293,537.88 is: 405,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,269.76 : 738,682.34 = 293,537.88 : x
  2. Step 2: Convert to fraction form
    535,269.76/738,682.34 = 293,537.88/x
  3. Step 3: Cross multiply
    535,269.76x = 738,682.34 × 293,537.88
  4. Step 4: Simplify right side
    535,269.76x = 216,831,246,609.35
  5. Step 5: Solve for x
    x = 216,831,246,609.35/535,269.76
  6. Step 6: Final answer
    x = 405,087.80

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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.