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Finding the Fourth Proportional to 298,260.12, 411,592.86 and 162,296.76

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Solution

The fourth proportional to 298,260.12, 411,592.86 and 162,296.76 is: 223,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,260.12 : 411,592.86 = 162,296.76 : x
  2. Step 2: Convert to fraction form
    298,260.12/411,592.86 = 162,296.76/x
  3. Step 3: Cross multiply
    298,260.12x = 411,592.86 × 162,296.76
  4. Step 4: Simplify right side
    298,260.12x = 66,800,187,617.13
  5. Step 5: Solve for x
    x = 66,800,187,617.13/298,260.12
  6. Step 6: Final answer
    x = 223,966.21

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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.