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Finding the Fourth Proportional to 601,389.27, 829,917.14 and 359,671.82

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Solution

The fourth proportional to 601,389.27, 829,917.14 and 359,671.82 is: 496,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,389.27 : 829,917.14 = 359,671.82 : x
  2. Step 2: Convert to fraction form
    601,389.27/829,917.14 = 359,671.82/x
  3. Step 3: Cross multiply
    601,389.27x = 829,917.14 × 359,671.82
  4. Step 4: Simplify right side
    601,389.27x = 298,497,802,245.05
  5. Step 5: Solve for x
    x = 298,497,802,245.05/601,389.27
  6. Step 6: Final answer
    x = 496,347.07

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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.