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Finding the Fourth Proportional to 305,597.76, 458,399.76 and 92,367.40

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Solution

The fourth proportional to 305,597.76, 458,399.76 and 92,367.40 is: 138,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,597.76 : 458,399.76 = 92,367.40 : x
  2. Step 2: Convert to fraction form
    305,597.76/458,399.76 = 92,367.40/x
  3. Step 3: Cross multiply
    305,597.76x = 458,399.76 × 92,367.40
  4. Step 4: Simplify right side
    305,597.76x = 42,341,193,991.82
  5. Step 5: Solve for x
    x = 42,341,193,991.82/305,597.76
  6. Step 6: Final answer
    x = 138,552.04

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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.