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Finding the Fourth Proportional to 313,924.31, 470,886.48 and 92,308.31

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Solution

The fourth proportional to 313,924.31, 470,886.48 and 92,308.31 is: 138,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924.31 : 470,886.48 = 92,308.31 : x
  2. Step 2: Convert to fraction form
    313,924.31/470,886.48 = 92,308.31/x
  3. Step 3: Cross multiply
    313,924.31x = 470,886.48 × 92,308.31
  4. Step 4: Simplify right side
    313,924.31x = 43,466,735,170.65
  5. Step 5: Solve for x
    x = 43,466,735,170.65/313,924.31
  6. Step 6: Final answer
    x = 138,462.47

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1.5x scale

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.