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Finding the Fourth Proportional to 446,753.40, 670,213.10 and 147,255

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Solution

The fourth proportional to 446,753.40, 670,213.10 and 147,255 is: 220,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,753.40 : 670,213.10 = 147,255 : x
  2. Step 2: Convert to fraction form
    446,753.40/670,213.10 = 147,255/x
  3. Step 3: Cross multiply
    446,753.40x = 670,213.10 × 147,255
  4. Step 4: Simplify right side
    446,753.40x = 98,692,230,040.50
  5. Step 5: Solve for x
    x = 98,692,230,040.50/446,753.40
  6. Step 6: Final answer
    x = 220,909.86

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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.