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Finding the Fourth Proportional to 305,384.59, 458,080.41 and 92,154.35

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Solution

The fourth proportional to 305,384.59, 458,080.41 and 92,154.35 is: 138,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,384.59 : 458,080.41 = 92,154.35 : x
  2. Step 2: Convert to fraction form
    305,384.59/458,080.41 = 92,154.35/x
  3. Step 3: Cross multiply
    305,384.59x = 458,080.41 × 92,154.35
  4. Step 4: Simplify right side
    305,384.59x = 42,214,101,858.68
  5. Step 5: Solve for x
    x = 42,214,101,858.68/305,384.59
  6. Step 6: Final answer
    x = 138,232.59

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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.