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Finding the Fourth Proportional to 642,405.31, 963,234.45 and 243,076.93

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Solution

The fourth proportional to 642,405.31, 963,234.45 and 243,076.93 is: 364,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,405.31 : 963,234.45 = 243,076.93 : x
  2. Step 2: Convert to fraction form
    642,405.31/963,234.45 = 243,076.93/x
  3. Step 3: Cross multiply
    642,405.31x = 963,234.45 × 243,076.93
  4. Step 4: Simplify right side
    642,405.31x = 234,140,072,976.24
  5. Step 5: Solve for x
    x = 234,140,072,976.24/642,405.31
  6. Step 6: Final answer
    x = 364,474.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.