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Finding the Fourth Proportional to 395,033.25, 592,554.90 and 138,855.48

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Solution

The fourth proportional to 395,033.25, 592,554.90 and 138,855.48 is: 208,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,033.25 : 592,554.90 = 138,855.48 : x
  2. Step 2: Convert to fraction form
    395,033.25/592,554.90 = 138,855.48/x
  3. Step 3: Cross multiply
    395,033.25x = 592,554.90 × 138,855.48
  4. Step 4: Simplify right side
    395,033.25x = 82,279,495,065.85
  5. Step 5: Solve for x
    x = 82,279,495,065.85/395,033.25
  6. Step 6: Final answer
    x = 208,284.99

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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.