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Finding the Fourth Proportional to 307,964.32, 461,947.55 and 94,730.78

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Solution

The fourth proportional to 307,964.32, 461,947.55 and 94,730.78 is: 142,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,964.32 : 461,947.55 = 94,730.78 : x
  2. Step 2: Convert to fraction form
    307,964.32/461,947.55 = 94,730.78/x
  3. Step 3: Cross multiply
    307,964.32x = 461,947.55 × 94,730.78
  4. Step 4: Simplify right side
    307,964.32x = 43,760,652,411.80
  5. Step 5: Solve for x
    x = 43,760,652,411.80/307,964.32
  6. Step 6: Final answer
    x = 142,096.50

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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.