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Finding the Fourth Proportional to 310,640.69, 466,306.94 and 160,840.76

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Solution

The fourth proportional to 310,640.69, 466,306.94 and 160,840.76 is: 241,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,640.69 : 466,306.94 = 160,840.76 : x
  2. Step 2: Convert to fraction form
    310,640.69/466,306.94 = 160,840.76/x
  3. Step 3: Cross multiply
    310,640.69x = 466,306.94 × 160,840.76
  4. Step 4: Simplify right side
    310,640.69x = 75,001,160,693.44
  5. Step 5: Solve for x
    x = 75,001,160,693.44/310,640.69
  6. Step 6: Final answer
    x = 241,440.23

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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.