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Finding the Fourth Proportional to 459,843.63, 689,869.24 and 140,024.09

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Solution

The fourth proportional to 459,843.63, 689,869.24 and 140,024.09 is: 210,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,843.63 : 689,869.24 = 140,024.09 : x
  2. Step 2: Convert to fraction form
    459,843.63/689,869.24 = 140,024.09/x
  3. Step 3: Cross multiply
    459,843.63x = 689,869.24 × 140,024.09
  4. Step 4: Simplify right side
    459,843.63x = 96,598,312,549.99
  5. Step 5: Solve for x
    x = 96,598,312,549.99/459,843.63
  6. Step 6: Final answer
    x = 210,067.74

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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.