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Finding the Fourth Proportional to 419,661.81, 579,115.15 and 238,373.19

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Solution

The fourth proportional to 419,661.81, 579,115.15 and 238,373.19 is: 328,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,661.81 : 579,115.15 = 238,373.19 : x
  2. Step 2: Convert to fraction form
    419,661.81/579,115.15 = 238,373.19/x
  3. Step 3: Cross multiply
    419,661.81x = 579,115.15 × 238,373.19
  4. Step 4: Simplify right side
    419,661.81x = 138,045,525,682.83
  5. Step 5: Solve for x
    x = 138,045,525,682.83/419,661.81
  6. Step 6: Final answer
    x = 328,944.69

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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.