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Finding the Fourth Proportional to 446,401.38, 616,038.36 and 242,454.24

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Solution

The fourth proportional to 446,401.38, 616,038.36 and 242,454.24 is: 334,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,401.38 : 616,038.36 = 242,454.24 : x
  2. Step 2: Convert to fraction form
    446,401.38/616,038.36 = 242,454.24/x
  3. Step 3: Cross multiply
    446,401.38x = 616,038.36 × 242,454.24
  4. Step 4: Simplify right side
    446,401.38x = 149,361,112,384.65
  5. Step 5: Solve for x
    x = 149,361,112,384.65/446,401.38
  6. Step 6: Final answer
    x = 334,589.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.