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Finding the Fourth Proportional to 310,898.34, 466,352.99 and 111,361.93

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Solution

The fourth proportional to 310,898.34, 466,352.99 and 111,361.93 is: 167,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,898.34 : 466,352.99 = 111,361.93 : x
  2. Step 2: Convert to fraction form
    310,898.34/466,352.99 = 111,361.93/x
  3. Step 3: Cross multiply
    310,898.34x = 466,352.99 × 111,361.93
  4. Step 4: Simplify right side
    310,898.34x = 51,933,969,027.67
  5. Step 5: Solve for x
    x = 51,933,969,027.67/310,898.34
  6. Step 6: Final answer
    x = 167,044.86

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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.