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Finding the Fourth Proportional to 390,234.56, 585,342.68 and 179,872.48

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Solution

The fourth proportional to 390,234.56, 585,342.68 and 179,872.48 is: 269,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,234.56 : 585,342.68 = 179,872.48 : x
  2. Step 2: Convert to fraction form
    390,234.56/585,342.68 = 179,872.48/x
  3. Step 3: Cross multiply
    390,234.56x = 585,342.68 × 179,872.48
  4. Step 4: Simplify right side
    390,234.56x = 105,287,039,501.45
  5. Step 5: Solve for x
    x = 105,287,039,501.45/390,234.56
  6. Step 6: Final answer
    x = 269,804.50

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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.