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Finding the Fourth Proportional to 493,841.80, 740,795.10 and 138,867.40

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Solution

The fourth proportional to 493,841.80, 740,795.10 and 138,867.40 is: 208,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,841.80 : 740,795.10 = 138,867.40 : x
  2. Step 2: Convert to fraction form
    493,841.80/740,795.10 = 138,867.40/x
  3. Step 3: Cross multiply
    493,841.80x = 740,795.10 × 138,867.40
  4. Step 4: Simplify right side
    493,841.80x = 102,872,289,469.74
  5. Step 5: Solve for x
    x = 102,872,289,469.74/493,841.80
  6. Step 6: Final answer
    x = 208,310.21

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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.