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Finding the Fourth Proportional to 402,333.80, 603,116.70 and 149,546.60

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Solution

The fourth proportional to 402,333.80, 603,116.70 and 149,546.60 is: 224,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,333.80 : 603,116.70 = 149,546.60 : x
  2. Step 2: Convert to fraction form
    402,333.80/603,116.70 = 149,546.60/x
  3. Step 3: Cross multiply
    402,333.80x = 603,116.70 × 149,546.60
  4. Step 4: Simplify right side
    402,333.80x = 90,194,051,888.22
  5. Step 5: Solve for x
    x = 90,194,051,888.22/402,333.80
  6. Step 6: Final answer
    x = 224,177.17

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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.