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Finding the Fourth Proportional to 310,840, 466,341.92 and 111,180.16

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Solution

The fourth proportional to 310,840, 466,341.92 and 111,180.16 is: 166,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,840 : 466,341.92 = 111,180.16 : x
  2. Step 2: Convert to fraction form
    310,840/466,341.92 = 111,180.16/x
  3. Step 3: Cross multiply
    310,840x = 466,341.92 × 111,180.16
  4. Step 4: Simplify right side
    310,840x = 51,847,969,280.31
  5. Step 5: Solve for x
    x = 51,847,969,280.31/310,840
  6. Step 6: Final answer
    x = 166,799.54

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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.