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Finding the Fourth Proportional to 313,446.70, 432,566.49 and 177,478.48

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Solution

The fourth proportional to 313,446.70, 432,566.49 and 177,478.48 is: 244,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,446.70 : 432,566.49 = 177,478.48 : x
  2. Step 2: Convert to fraction form
    313,446.70/432,566.49 = 177,478.48/x
  3. Step 3: Cross multiply
    313,446.70x = 432,566.49 × 177,478.48
  4. Step 4: Simplify right side
    313,446.70x = 76,771,243,144.14
  5. Step 5: Solve for x
    x = 76,771,243,144.14/313,446.70
  6. Step 6: Final answer
    x = 244,925.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.