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Finding the Fourth Proportional to 419,295.86, 578,610.22 and 238,004.49

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Solution

The fourth proportional to 419,295.86, 578,610.22 and 238,004.49 is: 328,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,295.86 : 578,610.22 = 238,004.49 : x
  2. Step 2: Convert to fraction form
    419,295.86/578,610.22 = 238,004.49/x
  3. Step 3: Cross multiply
    419,295.86x = 578,610.22 × 238,004.49
  4. Step 4: Simplify right side
    419,295.86x = 137,711,830,319.89
  5. Step 5: Solve for x
    x = 137,711,830,319.89/419,295.86
  6. Step 6: Final answer
    x = 328,435.94

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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.