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Finding the Fourth Proportional to 270,159.14, 404,876.46 and 210,259.94

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Solution

The fourth proportional to 270,159.14, 404,876.46 and 210,259.94 is: 315,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,159.14 : 404,876.46 = 210,259.94 : x
  2. Step 2: Convert to fraction form
    270,159.14/404,876.46 = 210,259.94/x
  3. Step 3: Cross multiply
    270,159.14x = 404,876.46 × 210,259.94
  4. Step 4: Simplify right side
    270,159.14x = 85,129,300,187.01
  5. Step 5: Solve for x
    x = 85,129,300,187.01/270,159.14
  6. Step 6: Final answer
    x = 315,107.98

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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.