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Finding the Fourth Proportional to 438,770.95, 658,156.43 and 106,346.95

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Solution

The fourth proportional to 438,770.95, 658,156.43 and 106,346.95 is: 159,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,770.95 : 658,156.43 = 106,346.95 : x
  2. Step 2: Convert to fraction form
    438,770.95/658,156.43 = 106,346.95/x
  3. Step 3: Cross multiply
    438,770.95x = 658,156.43 × 106,346.95
  4. Step 4: Simplify right side
    438,770.95x = 69,992,928,953.39
  5. Step 5: Solve for x
    x = 69,992,928,953.39/438,770.95
  6. Step 6: Final answer
    x = 159,520.43

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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.