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Finding the Fourth Proportional to 599,780.50, 827,695.06 and 327,848.61

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Solution

The fourth proportional to 599,780.50, 827,695.06 and 327,848.61 is: 452,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,780.50 : 827,695.06 = 327,848.61 : x
  2. Step 2: Convert to fraction form
    599,780.50/827,695.06 = 327,848.61/x
  3. Step 3: Cross multiply
    599,780.50x = 827,695.06 × 327,848.61
  4. Step 4: Simplify right side
    599,780.50x = 271,358,677,209.10
  5. Step 5: Solve for x
    x = 271,358,677,209.10/599,780.50
  6. Step 6: Final answer
    x = 452,429.98

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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.