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Finding the Fourth Proportional to 447,744.80, 671,617.20 and 152,256.80

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Solution

The fourth proportional to 447,744.80, 671,617.20 and 152,256.80 is: 228,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,744.80 : 671,617.20 = 152,256.80 : x
  2. Step 2: Convert to fraction form
    447,744.80/671,617.20 = 152,256.80/x
  3. Step 3: Cross multiply
    447,744.80x = 671,617.20 × 152,256.80
  4. Step 4: Simplify right side
    447,744.80x = 102,258,285,696.96
  5. Step 5: Solve for x
    x = 102,258,285,696.96/447,744.80
  6. Step 6: Final answer
    x = 228,385.20

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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.