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Finding the Fourth Proportional to 319,671.27, 441,129.11 and 198,809.15

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Solution

The fourth proportional to 319,671.27, 441,129.11 and 198,809.15 is: 274,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,671.27 : 441,129.11 = 198,809.15 : x
  2. Step 2: Convert to fraction form
    319,671.27/441,129.11 = 198,809.15/x
  3. Step 3: Cross multiply
    319,671.27x = 441,129.11 × 198,809.15
  4. Step 4: Simplify right side
    319,671.27x = 87,700,500,199.67
  5. Step 5: Solve for x
    x = 87,700,500,199.67/319,671.27
  6. Step 6: Final answer
    x = 274,345.89

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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.