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Finding the Fourth Proportional to 296,898.50, 409,708.96 and 160,929.53

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Solution

The fourth proportional to 296,898.50, 409,708.96 and 160,929.53 is: 222,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,898.50 : 409,708.96 = 160,929.53 : x
  2. Step 2: Convert to fraction form
    296,898.50/409,708.96 = 160,929.53/x
  3. Step 3: Cross multiply
    296,898.50x = 409,708.96 × 160,929.53
  4. Step 4: Simplify right side
    296,898.50x = 65,934,269,564.94
  5. Step 5: Solve for x
    x = 65,934,269,564.94/296,898.50
  6. Step 6: Final answer
    x = 222,076.80

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Why These Related Problems?

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