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Finding the Fourth Proportional to 296,234.60, 444,416.70 and 146,546.60

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Solution

The fourth proportional to 296,234.60, 444,416.70 and 146,546.60 is: 219,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,234.60 : 444,416.70 = 146,546.60 : x
  2. Step 2: Convert to fraction form
    296,234.60/444,416.70 = 146,546.60/x
  3. Step 3: Cross multiply
    296,234.60x = 444,416.70 × 146,546.60
  4. Step 4: Simplify right side
    296,234.60x = 65,127,756,368.22
  5. Step 5: Solve for x
    x = 65,127,756,368.22/296,234.60
  6. Step 6: Final answer
    x = 219,851.96

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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.