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Finding the Fourth Proportional to 298,754.08, 412,275.43 and 162,789.14

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Solution

The fourth proportional to 298,754.08, 412,275.43 and 162,789.14 is: 224,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,754.08 : 412,275.43 = 162,789.14 : x
  2. Step 2: Convert to fraction form
    298,754.08/412,275.43 = 162,789.14/x
  3. Step 3: Cross multiply
    298,754.08x = 412,275.43 × 162,789.14
  4. Step 4: Simplify right side
    298,754.08x = 67,113,962,692.83
  5. Step 5: Solve for x
    x = 67,113,962,692.83/298,754.08
  6. Step 6: Final answer
    x = 224,646.18

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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.