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Finding the Fourth Proportional to 395,131.80, 592,098.98 and 261,533.44

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Solution

The fourth proportional to 395,131.80, 592,098.98 and 261,533.44 is: 391,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,131.80 : 592,098.98 = 261,533.44 : x
  2. Step 2: Convert to fraction form
    395,131.80/592,098.98 = 261,533.44/x
  3. Step 3: Cross multiply
    395,131.80x = 592,098.98 × 261,533.44
  4. Step 4: Simplify right side
    395,131.80x = 154,853,683,059.89
  5. Step 5: Solve for x
    x = 154,853,683,059.89/395,131.80
  6. Step 6: Final answer
    x = 391,903.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.