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Finding the Fourth Proportional to 313,923.31, 470,884.98 and 92,307.31

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Solution

The fourth proportional to 313,923.31, 470,884.98 and 92,307.31 is: 138,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,923.31 : 470,884.98 = 92,307.31 : x
  2. Step 2: Convert to fraction form
    313,923.31/470,884.98 = 92,307.31/x
  3. Step 3: Cross multiply
    313,923.31x = 470,884.98 × 92,307.31
  4. Step 4: Simplify right side
    313,923.31x = 43,466,125,823.20
  5. Step 5: Solve for x
    x = 43,466,125,823.20/313,923.31
  6. Step 6: Final answer
    x = 138,460.97

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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.