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Finding the Fourth Proportional to 468,379.94, 701,834.00 and 362,024.19

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Solution

The fourth proportional to 468,379.94, 701,834.00 and 362,024.19 is: 542,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,379.94 : 701,834.00 = 362,024.19 : x
  2. Step 2: Convert to fraction form
    468,379.94/701,834.00 = 362,024.19/x
  3. Step 3: Cross multiply
    468,379.94x = 701,834.00 × 362,024.19
  4. Step 4: Simplify right side
    468,379.94x = 254,080,883,554.34
  5. Step 5: Solve for x
    x = 254,080,883,554.34/468,379.94
  6. Step 6: Final answer
    x = 542,467.48

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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.