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Finding the Fourth Proportional to 472,399.48, 707,936.10 and 258,617.80

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Solution

The fourth proportional to 472,399.48, 707,936.10 and 258,617.80 is: 387,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,399.48 : 707,936.10 = 258,617.80 : x
  2. Step 2: Convert to fraction form
    472,399.48/707,936.10 = 258,617.80/x
  3. Step 3: Cross multiply
    472,399.48x = 707,936.10 × 258,617.80
  4. Step 4: Simplify right side
    472,399.48x = 183,084,876,722.58
  5. Step 5: Solve for x
    x = 183,084,876,722.58/472,399.48
  6. Step 6: Final answer
    x = 387,563.67

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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.