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Finding the Fourth Proportional to 446,765.10, 670,147.65 and 294,549.90

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Solution

The fourth proportional to 446,765.10, 670,147.65 and 294,549.90 is: 441,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,765.10 : 670,147.65 = 294,549.90 : x
  2. Step 2: Convert to fraction form
    446,765.10/670,147.65 = 294,549.90/x
  3. Step 3: Cross multiply
    446,765.10x = 670,147.65 × 294,549.90
  4. Step 4: Simplify right side
    446,765.10x = 197,391,923,292.74
  5. Step 5: Solve for x
    x = 197,391,923,292.74/446,765.10
  6. Step 6: Final answer
    x = 441,824.85

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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.