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Finding the Fourth Proportional to 494,881.86, 742,174.71 and 258,095.37

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Solution

The fourth proportional to 494,881.86, 742,174.71 and 258,095.37 is: 387,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,881.86 : 742,174.71 = 258,095.37 : x
  2. Step 2: Convert to fraction form
    494,881.86/742,174.71 = 258,095.37/x
  3. Step 3: Cross multiply
    494,881.86x = 742,174.71 × 258,095.37
  4. Step 4: Simplify right side
    494,881.86x = 191,551,856,382.09
  5. Step 5: Solve for x
    x = 191,551,856,382.09/494,881.86
  6. Step 6: Final answer
    x = 387,065.83

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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.